Questions on Word Problems: Geometry answered by real tutors!

Tutors Answer Your Questions about Geometry Word Problems (FREE)

Question 570796: a rancher has 180 ft of fencing to enclose two adjacent rectangular corrals. A river forms one side of the corrals. Suppose the width of each corral is x ft. Express the total area of the two corrals as a function of x. Find the domain of the function.
Click here to see answer by ankor@dixie-net.com(12684)

Question 570937: the perimeter of a rectangle is 110 ft. and the area is 684 sq. ft. What is the length of the longer side
Click here to see answer by JBarnum(1826)

Question 570897: to fence a rectangular farm of 750 m^2, 110 m of fence has been used. calculate the dimensions of the farm. show your work.
Click here to see answer by maa.veera@gmail.com(3)

Question 570724: The town of Foxton lies 10 mi north of an abandoned east-west road that runs through Grimley, as shown in the figure. The point on the abandoned road closest to Foxton is 60 mi from Grimley. County officials are about to build a new road connecting the two towns. They have determined that restoring the old road would cost $100,000 per mile, while building a new road would cost $200,000 per mile. How much of the abandoned road should be used (as indicated in the figure) if the officials intend to spend exactly $8.8 million?

How much would it cost to build a new road connecting the towns directly? (Round your answer to one decimal place.)
Click here to see answer by ankor@dixie-net.com(12684)

Question 570786: The perimeter of a rectangle is 2012, and lengths of all sides are integers. What is the smallest possible area of this rectangle?
Click here to see answer by KMST(576)

Question 570613: this is a problem that my teacher gave me and no matter how I look at it it doesn't make any sense
The perimeter of an equilateral triangle is 9 inches more than the perimeter of a square, and the side of the triangle is 6 inches longer than the side of the square. Find the side of the triangle. (Hint: An equilateral triangle has three sides the same length.)
Click here to see answer by scott8148(5879)

Question 570089: I am having issues with this one problem in my home work. I don't know why I cant get it...We have to set it up in the 5 step and I guess I am just confused.
?. The perimeter of a rectangle is 36m. The length is 2m more than three thimes the width. Find the length and with of the rectangle.
Ok, so here is what I have done.
Data: I drew a rectangle with the length labeled as 3w + 2, and the width is just labeled as w.
Varaibles: P=2(3w+2)x 2w
Plan: P=2Lx2W
Equation: 36=2(3w+2)x 2w
Ok...so here is where I get stuck.
36=2(3w+2) x 2w
36=6w+4 x 2w
so I think now I subtract 4 from each side, but then I am stuck. Am I even close?

Click here to see answer by ankor@dixie-net.com(12684)

Question 570159: In the rectangle below,AC has a length of 28. What is the length of ED If necessary, round your answer to two decimal places.

Click here to see answer by AnlytcPhil(1116)

Question 570059: If your shadow is twice your height what is the angle of elevation of the sun
Click here to see answer by stanbon(48510)

Question 569492: A flower bed measuring 8 feet by 10 feet is bordered by a concrete walk that is 2 feet wide. What is the are of the concrete walk?
Click here to see answer by nerdybill(5403)

Question 569387: Is m+n an integer, why or why not?
Click here to see answer by richard1234(4789)

Question 569345: A record radius of 15cm. The label has a radius of 6cm. Find the following to the nearest tenth:
A. The area of the record (including the label).
B. The area of the label.
C. The area of the record that is not covered by the label.
Click here to see answer by solver91311(12117)

Question 569092: in a regular 31 gon what is the measurement of each interior angle and measurement of each exterior angle
Click here to see answer by KMST(576)

Question 569287: a right triangle has a perimeter of 1400. The hypotenuse is 600. What are the lengths of the other two sides?
Click here to see answer by lwsshak3(2907)

Question 568989: if the area of a trapazoid was 72 ft^2 and the sum of the bases was 48 ft what would the heighth be?
Click here to see answer by Theo(2967)

Question 568677: the length of a rectangular frame is 9 cm more than the width. the area inside the frame is 90 square cm. find the width of the frame. set up a quadratic equation to solve it. THANKS in advance
Click here to see answer by KMST(576)

Question 568684: a regular-size piece of paper is about 28 centimeters from top to bottom. what is the length in milimeters?

Click here to see answer by Alan3354(21550)

Question 568332: A rectangular swimming pool is surrounded by a concrete walkway of uniform width. The outside dimensions of the walkway is 13 ft. by 18 ft. The water surface of the pool is 50 ft(squared). What is the dimension of the pool?

Click here to see answer by KMST(576)

Question 567874: A square lawn is surrounded by a path 2.5 m wide around it . If the area of the path is 200 sq m , find the area of the lawn
Click here to see answer by mananth(10539)

Question 567860: The length of a rectangle is 3 feet less than twice the width of the rectangle. If the perimeter of the rectangle is 84 feet, find the width and the length.
Width = _____ft
Length=______ft.
x+x+x+x=84
L=2w-3 is what i have come up with but i am not sure where to go from there.
Click here to see answer by rapaljer(4551)

Question 567760: using proportional relationships. the scale is 1.5in:60ft
find the length of segment AB.segment AB equals .5in.
how do i solve for this because i guessed that 1in was half of 60 (30ft) & .5in might be half of 30 (15ft)? was i correct?
Click here to see answer by Alan3354(21550)

Question 567625: A scuba diver has a taut rope connecting the dive boat to an anchor on the ocean floor. The rope is 110 ft long. The water is 55 ft deep. To the nearest tenth of a foot, how far is the anchor from a point directly below the boat?
--Basically, I need to know where each length goes. I used 55 as the height of the right triangle and 110 as the base. Is this correct?
Thank you.
Click here to see answer by Earlsdon(6098)

Question 567609: The surface areas of two similar cylinders are 6ft2 and 54ft2. The volume of the smaller cylinder is 2ft3. What is the volume in cubic feet of the larger cylinder?

Click here to see answer by Alan3354(21550)

Question 567601: Solve
1/(1-x) = 3/(1+x)

Click here to see answer by htmentor(580)

Question 567096: suppose the ratio of the volumes of two balls is 8 to 1. What is the ratio of their radii?
Click here to see answer by richard1234(4789)

Question 567303: the length of a rectangle is 6cm and the width 3 cm. if both are increased by the same amount the area is increased by 70 cm^2 find the length and width of the larger rectangle?
Click here to see answer by Horlaye(3)

Question 273868: Two poles, 30 feet and 50 feet tall, are 40 feet apart and perpendicular to the ground. The poles are supported by wires attached from the top of each pole to the bottom of the other, as in the figure. A coupling is placed at C where the tow wires cross.
Find x, the distance from C to the taller pole?
How high above the ground is the coupling?
How far down the wire from the smaller pole is the coupling?

Click here to see answer by noelsanoj(1)

Question 566994: The page of a book measures 6in by 9in. A uniform border around the page leaves 28in^2 for type. What are the dimensions of the type area?
I have no idea where to begin with this. How do I solve this?
Click here to see answer by stanbon(48510)

Question 566959: The length of a triangle is 4 m more than twice the length of the base. The area of the triangle is 35 m^2. Find the height of the triangle.
This is what I've done:
A=1/2*b*h
35= (1/2)*(2b)*(2b+4)
Is that the right equation? How do I solve this?
Click here to see answer by solver91311(12117)

Question 566833: Why does cos(85 degrees)+cos(95 degrees)= 0?
Click here to see answer by solver91311(12117)

Question 566801: if the perimetare of a rectangle is 30 then whats the area

Click here to see answer by Alan3354(21550)

Question 566592: a square garden has perimeter 96m find its side
Click here to see answer by rfer(10417)

Question 566544: a circle whose diameter has endpoints (-3,0) and (3,0)
Click here to see answer by stanbon(48510)

Question 566272: A rectangular field is 30 feet wide and 50 feet long. Fence post are to be placed every 10 feet around the field. How many posts are needed?

Click here to see answer by ad_alta(170)

Question 566203: the perimeter of a rectangle is 44 inches.Find the dimension if the width is two inches longer than three times the length.Then find the area of the rectangle
Click here to see answer by lwsshak3(2907)

Question 566135: I have a word problem on a sheet that I don't really understand. I would really love to know the steps to solving it since there are more of them. I've tried the pythagorean theorem, but I don't think I'm doing it right. I would greatly appreciate any help I receive.
In a square, the length of a side is 6 cm less than a diagonal. How long is each diagonal?
Click here to see answer by ankor@dixie-net.com(12684)

Question 566090: A polygon has five interior angles. It has two angles measuring 160° each, two angles measuring 75° each, and one angle measuring 70°. What kind of polygon is this?
Click here to see answer by Alan3354(21550)

Question 566066: What is the formula to find the AREA between TWO Rectangles?
Click here to see answer by Alan3354(21550)

Question 566002: The ratio of the length and breadth of a rectangular farm is 2:1 . If its area is 450 m^2, find its length.
Click here to see answer by ad_alta(170)

Question 566016: the area of a rectangular vegetable plot is 15 square metres.if the width is 1 metre,what is its lenght?

Click here to see answer by ad_alta(170)

Question 565950: what is the perimeter of a square that measures 10 inches by 11 inches
Click here to see answer by mananth(10539)

Question 565866: Mr. Diaz measured the length of the garden. It measured 9 meters long. How many centimeters long was the garden?
Click here to see answer by solver91311(12117)

Question 565561: an above-ground swimming pool is in the shape of a regular hexagonal prism. the pool is 3 meters high and holds 66 cubic meters of water. another pool has a base with the same shape and size, but is 5 meters high. how much water will this pool hold? explain
Click here to see answer by ankor@dixie-net.com(12684)

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