Questions on Word Problems: Geometry answered by real tutors!

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Question 883119: The outside dimension of a rectangular flower bed including the pathway are 72 cm by 108 cm. If the area of the flower bed excluding the pathway is 6400 cm� and the pathway has uniform width, how wide is the pathway.
Click here to see answer by josgarithmetic(39617)

Question 883313: Hello, how are you. I understand the concept of this question, however I don't understand why you would cross out the (l) when solving.
For example: (10)(2)(L)=(5)(L)(W)
20=5w
Why was the (l) crossed out?
Thank you so much!
Tim has a rectangular prism with a length of 1.0 centimeters, a width of 2 centimeters, and an
unknown height. He needs to build another rectangular prism with a length of 5 centimeters and
the same height as the original prism. The volume of the two prisms will be the same. Find the
width, in centimeters, of the new prism

Click here to see answer by josgarithmetic(39617)

Question 883403: ross is installing edging around the pool, which consists of a rectangle and a semicircle, as shown in the diagram. determine the length of edging, to the nearest tenth of a foot, that ross will need completeky around the pool.
Click here to see answer by Alan3354(69443)

Question 883401: the diagram below shows the equilateral triangle abc, whose sides are 6 inches long. use the relationship below to find h, the hight of triangle abc. leave your answer in the simppest radical form
Click here to see answer by Fombitz(32388)

Question 883537: A student determines that the density of a certain material is 4.46 g/cm^3. What would be the density of this material in g/l?
Click here to see answer by Alan3354(69443)

Question 883589: An existing landfill is built on a rectangular parcel of property. The width of the landfill is 100m. If the landfill permit is changed is changed to increase the length of the landfill by 50m, its area will be increased by 5000 square meters (m^2) and its useful life span will be extended by 20 percent. What is the current length of the landfill.
Since this is an area problem, I'm guessing the 20% life span in inconsequential, so I'm ignoring it.
I use A=WL and get as far as this:
(100)(L + 50) = A + 5000
This really doesn't seem to take me anywhere. Any help is much appreciated.
Click here to see answer by KMST(5328)

Question 883685: How are you going to represent the length of a side of a square shaped unit
Area=.25m^2
Click here to see answer by Alan3354(69443)

Question 884120: The angle of elevation of the top of cell tower B from the top of cell tower A is 30 degrees. The angle of depression of the foot of the cell tower B from the top of cell tower A is 60 degrees. The height of cell tower B is 100 meters. The foot of cell tower A and the foot of cell tower B is in the same horizontal plane.
What is the height of cell tower A?
Click here to see answer by Theo(13342)

Question 884209: Which is the number, which when squared
and added to 12 becomes seven times its
value ?
Click here to see answer by Edwin McCravy(20055)

Question 884008: The diameters of two spheres are in the ration 2:3 and the sum of their volumes is 1,260 cubic centimeters. Find the volume of the largest sphere.
Click here to see answer by Fombitz(32388)

Question 884392: how many trees of 3 meters apart can be erected in 15 meters by 12 meters rectangular yard
Click here to see answer by josmiceli(19441)

Question 883241: a box has a length of x centimeters. If the width is 10 cm shorter than the length and the height is half the length find the volume and surface area
Click here to see answer by Fombitz(32388)

Question 884640: The sum of the measures of the inner angles in any triangle is 180�. Diana has a triangular area in her back yard where she intends to create a garden. If the largest angle is three times the smallest and the middle angle is 60� less than four times the smallest, find the measure of each angle.
Click here to see answer by ewatrrr(24785)

Question 884649: A carpenter is making a backyard deck. In his measurements, he has determined that he needs to make a support triangle with an area 22 m�. He knows that the base must be 1 less than 3 times the height. If the base is represented by 3x - 1 and the height = x, find the dimensions of the triangle.
Click here to see answer by nerdybill(7384)

Question 884699: floors X and Y are equal in area,if X is 12 feet into 8 feet and the width of Y is 6 feet , what is the length of Y?
Click here to see answer by ewatrrr(24785)

Question 884839: A computer manufacturing company would like to come up with a new laptop
computer such that its monitor is 80 square inches smaller than the present ones.
Suppose the length of the monitor of the larger computer is 5 inches longer than
its width and the area of the smaller computer is 70 square inches. What are the
dimensions of the monitor of the larger computer?
Click here to see answer by josgarithmetic(39617)

Question 884975: the line y=ax+b is perpendicular to the line y-3x=4 and passes through point (1,-2). Find the value of a and b.
Click here to see answer by Fombitz(32388)

Question 885155: a poll was taken of 100 students at a computer campus to find out how they come to campus. The result were as follows: 28 mentioned car pools, 31 used buses, 42 said they drove alone, 9 used both car pools and buses,10 used both car pool and sometimes their own cars, 6 used buses as well as their own cars, and 4 used all three methods.
question #1. How many used none of the above mentioned means of transportation?
#2. How many used buses and car pools only?
#3. How many used at least two of the mentioned means transportation?
#4 How many used at most one of the mentioned means transportation?
Click here to see answer by richwmiller(17219)

Question 885254: curly is digging his own pool by hand. The pool will be rectanglar and measure 14 feeet by 40 feet. He is also planning a deck surround the pool that will be 6 feet wide. What is the area of the deck?

Click here to see answer by JulietG(1812)

Question 885168: A rectangular field with dimensions of 30 meters by 50 meters is to be surrounded by a fence. Posts are placed every 2 meters. a)How many posts are needed.
b)How many posts are needed if one 50 meter side is not fenced? c)How many posts are needed if one 30 meter side is not fenced?
So I did fine on the first part--I got 80 posts, but then for part b and c I got 55 and 65, but the answer in the back says 56 and 66. I don't understand why it is one more!
Click here to see answer by KMST(5328)

Question 885188: Grace constructed an open box with a square base out of 192 square centimeters material. The height of the box is 4 centimeter. What is the length of the side of the base of the box?
Click here to see answer by KMST(5328)

Question 885365: A section on the playground is in the shape of a triangle and has an area of 24 square feet. If the base is four more than twice the height, what is the measure of the height?

Click here to see answer by nerdybill(7384)

Question 885381: 10% of x degrees is the complement of 40% of 2x degrees . find x
Click here to see answer by ankor@dixie-net.com(22740)

Question 885528: show that the points (-2, 5), (-2, -1) and (4, -1) all lie on a circle whose is at (1, 2). find the length of the radius.
Click here to see answer by richwmiller(17219)

Question 885582: Question 4: (1 point)

At a tennis club, a 15,000 ft2 rectangular area is partitioned into three rectangular courts of equal size. A total of 800 feet of fencing is used to enclose the three courts, including the interior sides.

Maple plot

What are the possible dimensions, in feet, of the entire rectangular area?
Select all that apply.

(a)
25feet by 600feet

(b)
100feet by 150feet

(c)
100feet by 300feet

(d)
300feet by 50feet

(e)
100feet by 50feet

Click here to see answer by KMST(5328)

Question 885701: Find three consecutive integers such that the sum of the smallest integer and the largest integer is equal to twice the middle integer.
Click here to see answer by KMST(5328)

Question 885720: the length of a rectangular piece of land is 4ft more than two times its width. the perimeter is 32 ft find its dimensions.

Click here to see answer by lwsshak3(11628)

Question 885731: a triangle has a perimeter of 53 in . the shortest side of triangleis two more than one-third of the longest side . the other side is five less then the longest side . find the dimension

Click here to see answer by lwsshak3(11628)

Question 885186: A rectangular building is 2 meters longer than twice the width. The area of ground floor is 60 meters squared. Find the length and the width of the building.
Click here to see answer by basketball1127(19)

Question 885700: The Lassalle�s have an orange grove that contains 90 trees. The number of trees in each row is 3 more than twice the number of rows. Find the number of rows and the number of trees per row.
Click here to see answer by richwmiller(17219)

Question 885776: please help me with this scientific notation operation.(4 x 10^-5)^-6.thanks in advance.
Click here to see answer by Alan3354(69443)

Question 885771: a room is 4 feet longer than its wide. its area is 192 square feet. what is the length of the room?
Click here to see answer by Alan3354(69443)

Question 885801: Hi, I have the following word problem I could really use some help with:
If the length of each side of a square is decreased by 4 in., the perimeter of the new square is 10 in. more than half the perimeter of the original square. What are the dimensions of the original square?
Click here to see answer by lwsshak3(11628)

Question 885820: Joe�s rectangular backyard has an area of 3,100 ft 2. If the length of his yard is 12 ft more than the width, what are the dimensions of his yard? PLEASE HELP!!

Click here to see answer by lwsshak3(11628)

Question 885811: find the distance traveled by a point on the edge of a tire with radius 18 inches if it is rolled in a straight line for 90 turns?
Click here to see answer by kadash12(6)

Question 885862: Mr. Donald sells hamburger with the choice of ketchup,mayonnaise,and coleslaw. Last Sunday they sold 256 hamburgers;140 had mayonnaise;140 had ketchup;83 had ketchup and coleslaw;62 had mayonnaise but no coleslaw;68 had ketchup and mayonnaise;38 had all three condiments,20 had none.Solve using three sets venn diagram. So thankful for the help last time...please help again.thanks.
Click here to see answer by Edwin McCravy(20055)

Question 885887: Can you helo me with this probkem. Points a,b,c,and d are collinear. In how many ways can the line be named using only these points? Points a,b,c,d, and e are coplanar and no three are collinear. In how many ways can the plane be named using only these points?

Click here to see answer by DrBeeee(684)

Question 885772: A total of 78 seats for a concert are sold, producing total revenue of $483. If seats cost either $2.50 or $10.50, how many $10.50 seats were sold?
Click here to see answer by lwsshak3(11628)

Question 886024: I really need your help on the following question.
My team wad asked to design a rectangultar playground that has 2160 square yard of space one piece of the equipment is 15 yard.consider only whole-number options
Give 3 practial options for the dimensons andbexplain why they where chose
Click here to see answer by rothauserc(4718)

Question 886052: Minimum Cost: A rectangular area adjacent to a river is to be fenced in; no fence is needed on the river side. The enclosed area is to be 1,000 square feet. Fencing for the side parallel to the river is $5 per linear foot, and fencing for the other two sides is $8 per linear foot; the four corner posts are $25 apiece. Let x be the length of one of the sides perpendicular to the river.

a) Write a function C(x) that describes the cost of the project.
b) What is the domain of C?

I don't know exactly how to do this. Any suggestions on what I mess up on is greatly appreciated.

4 * 25 = 100 NOT A VARIABLE COST
5y * 8x = 1,000 I put it like this because it is a rectangle and I was trying to get the area. So I multiplied l * w.
5y * 8x - 5y = 1,000 - 5y
8x = -5y + 1,000
8x - 1,000 = -5y + 1,000 - 1,000
8x - 1,000 = -5y
8x - 1,000 / -5 = -5y / -5
-8/5x - 200
C(x) = - 8/5x - 200
I was told it was wrong. I've also tried the following.
8x^2 + 5 y + 100 = 1000
8x^2 5y + 100 - 100 = 1000 - 100
8x^2 + 5y = 900
8x^2 + 5y - 8x^2 = -8x^2 + 900
5y = -8x^2 + 900
5y / 5 = -8x2 + 900 / 5
y = -8/5x^2 +180

8x + 8x + 5y + 100 = 1000
16x + 5y + 100 = 1000
16x + 5y + 100 - 100 = 1000 - 100
16x + 5y = 900
16x + 5y - 16x = -16x + 900
5y = -16x + 900
5y / 5 = -16x + 900 / 5
y = -16/5x + 180
I'm not sure how to explain the cost of the project or to find the domain either.

Thank you in advance. Chastity Moore
Click here to see answer by richwmiller(17219)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020