Questions on Word Problems: Geometry answered by real tutors!

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Question 159756: a rectangular swimming pool is 2 m longer than it is wide.if the width is decreased by 3m, and the length is increased by 4m the area remains the same as the original area.find the original dimensions of the pool?
Click here to see answer by KnightOwlTutor(293)

Question 159750: the length of a rectangle is 3cm greater than the width.if each dimension is increased by 2cm,the areais increased by 26cm^2.find the original dimensions of the rectangle?
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Question 159763: An open box is to be constructed from a square piece of sheet metal by removing a square of side 1 foot from each corner and turning up the edges. If the box is to hold 4 cubic feet, what should be the dimensions of the sheet metal?
Click here to see answer by ankor@dixie-net.com(15650)

Question 159823: A square piece of cardboard is formed into a box by cutting out 2-inch squares from each of the corners and folding up the sides. If the volume of the box needs to be 84.5 cubic inches, what size square piece of cardboard is needed?
Click here to see answer by checkley77(12569)

Question 159909: Hello-Today on test, I was unable to prove that x=2. Given: 1/2x + 1 = 2x -2.
I know x=2 but kept coming up with x=1 when I did all of the steps. I must be doing something wrong. Thanks.
Click here to see answer by nerdybill(6958)

Question 159957: hi, im working on complements and suplements of angles and i had a question from my worksheet.
"The measure of the complement of an angle is 45+x. The measure of the supplement of an angle is 15x-47. What is the measure of the angle?"
My work: 45 + x = 90 15x - 47 = 180 15x 227
-45 = -45 +47 = +47 ---- = --- =(x = 15.13333333)
------------- --------------- 15x 15x
(x = 45) 15x = 227
what i dont get is what to do next. the question is asking for only one of the angles but i have two x's. If i plugg them in then i have two different answers. What should i do next to finish this problem?
Click here to see answer by stanbon(57342)

Question 123876: directions: write a rational number in simplest form for decimal expansion. my decimal expansion is 1.290 with a line over 90 to make it repeating. my fraction was 71/55. am i correct?
Click here to see answer by 983469(5)

Question 160405: I am having some trouble getting the answer to this problem could someone help me?
A 25in T.V. set has a width of 20in, what is the height of the T.V.?
Click here to see answer by nerdybill(6958)

Question 160650: I need to find all the different triangles that have sides with whole number lengths and a perimeter of 12.
I need to find the possibilities for length and width for a rectangle with an area of 120 cm2 if the side lengths are whole numbers and which possibility gives the smallest perimeter
Click here to see answer by checkley77(12569)

Question 160541: find the value of k so that the line through (4,k) and (-2,-1) is parallel to y=-2x+3/2
Click here to see answer by ankor@dixie-net.com(15650)

Question 160779: Find the angles of a triangle where one angle is three times a second angle and six times the third angle.
I think the variables should be:
x = one angle
3x = second angle
6x = third angle
Click here to see answer by vleith(2825)

Question 160850: The perimeter of a rectangular room is 37 3/5 ft. The width is 6 4/5 feet. Find the length.
I know the formula is p=2l + 2w but the fractions and information are confusing
Click here to see answer by gonzo(654)

Question 160903: Mary anne is building a fence around the outer edge of a rectangular garden plot that measures 25 feet by 45 feet. She will st the posts 5 feet apart. How many posts will she need?
Click here to see answer by KnightOwlTutor(293)

Question 161047: Hi I really need help on my math homework. Here is the question: The length of a rectangle exceeds its width by 4 feet. If the width is doubled and the length is decreased by 2 feet, a new rectangle is formed whose perimeter is 8 feet more than the perimeter of the original rectangle. Find the dimensions of the original rectangle.
My teacher says that we have to do "let" statements first. Her are mine:
Let x= the width of the rectangle
Let x + 4= the length of the rectangle
I am not sure if these let statements are right, and if they are i am not sure how to set up the equation. Thanks for help
Click here to see answer by ptaylor(2048)

Question 161048: Hi! Can you help me? Here's the question: A side of a square is 10 meters longer than the side of an equilateral triangle. The perimeter of the square is 3 times the perimeter of the triangle. Find the length of each side of the triangle. My teacher says we have to do "let" statements. I think the let statement is
Let x = the length of one side of the triangle. I am not sure if this is correct, but if it is i am not sure how the set up the formula to solve for x.
Thanks for your help.
Click here to see answer by scott8148(6628)

Question 161175: Home Depot sells plywood to cover the outside walls of a home in 4 foot by 8 foot sheets for $15 per sheet. You have a framed wall thatis 8 foot high by 40 feet long. How many sheets of plywood will it take to cover the space?
Click here to see answer by checkley77(12569)

Question 161400: Building a hexagon shaped patio with six equal sides.The ciritical measurement is from the vertex of one angle across the hexagon to the opposite vertex.The measurement is 15 feet. What will be the area of the patio in sqaure feet?
I figured out there will be 6 triangles and I have to use the pythorean theory to find the measurements of all six triangles. One measurement must be 7.5 ft. beacause that is half of 15 ft. After I find the height of the triangles I know I would use the A=1/2 bh formula to find area. I am not sure how to put it all together.
Click here to see answer by scott8148(6628)

Question 161648: The length of a rectangle is 3 feet less than half the width of the rectangle. If the perimeter of the rectangle is 174 feet, find the width and the length
Click here to see answer by checkley77(12569)

Question 161650: The length of a rectangle is 3 feet less than twice the width of the rectangle. If the perimeter of the rectangle is 174 feet, find the width and the length
Click here to see answer by nerdybill(6958)

Question 161654: A triangle has a perimeter of 161 miles. Each of the two smaller sides of the triangle is two thirds the length of of the longest side. Find the length of each side of the triangle.
Click here to see answer by gonzo(654)

Question 161667: A motorboat left a harbor and traveled to an island at an average rate of 15 knots. The average speed on the return trip was 10 knots. If the total trip took 7.5 hours, how far is the harbor from the island?
Click here to see answer by checkley77(12569)

Question 161666: A triangle has a permimeter of 161 miles. Each of the smaller two sides of the triangle is two-thirds the length of the longest side. Find the length of each side of the triangle.
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Question 161665: the complement of an angle is 20 degrees less than half the supplement find the angle its complement and its supplement
90-x=(180-x)/2 -20

Click here to see answer by gonzo(654)

Question 161688: Please solve 3x^2=15, and what are the x-intercepts? Thank you,
Click here to see answer by Earlsdon(6287)

Question 161723: what is the measure of the larger angle of two supplementary angles if two-fifths of the larger angle is 5 less than the smaller angle?
Click here to see answer by nerdybill(6958)

Question 161867: In a triangle, one angle is 6 degrees more than the second angle. The third angle is 18 degrees more than the second angle. Find the measure of each angle.
Click here to see answer by checkley77(12569)

Question 161869: The length of a rectangle is 2x+3. The width is x-3. Express the area of the rectangle in terms of the variable x.

Click here to see answer by checkley77(12569)

Question 161947: A photo is 3 inches longer than it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108 square inches. What are the dimensions of the photo?
I know the length and the width are are 12 and 9. I assume that I would subtract 2 from both of these in for the answer. I just don't know how to write it in the form of an equation.
Click here to see answer by scott8148(6628)

Question 161961: The lengths of the sides of a triangle are consecutive even integers. Find the length of the longest side if it is 22 units shorter than the permiter.

Click here to see answer by edjones(7569)

Question 162024: the legnth of a rectangle is 4 cm less than twice its width. its perimeter is 40 cm. find the length and width of the rectangle.
Click here to see answer by tutor_paul(490)

Question 162245: The problem is to find the length of a tether required to allow a goat to eat half the grass when tethered to the edge of a circular field. An analytical solution would be great.
When I was young I came across this problem and have never found a solution, I am now over sixty and what little knowledge I had of maths is fading. I would love to find a solution before I am too old to care!
Many thanks David
Click here to see answer by Alan3354(30993)

Question 162432: the area of a rectangle is 675sq.cm. If the width is 1/3 of the length. Find the dimensions of the rectangle????
Click here to see answer by nerdybill(6958)

Question 162429: if the length of a certain rectangle were increased by 2ft and the widh decreased by 1ft,the area would be decreased by 2sq ft. if the length were decreased by 2ft and the width increased by 2ft,the area would be increased by 16sq.ft. find the dimensions of the rectangle.....
Click here to see answer by Anthea Lawn(22)

Question 162431: A and B working together can do a job in 20/3 hours. A became ill after 3 hours of working with B and B finished the job, continuing the work alone in 33/4 more hours. How long would it take each working alone to do the job????
Click here to see answer by ankor@dixie-net.com(15650)

Question 162660: The length of a rectangle is 5 feet less than the width. The perimeter of the rectangle is 90 feet. Find the length.
Click here to see answer by jojo14344(1512)

Question 162681: find the measure of an angle if its suppliment measures 12degrees less than three times its compliment

Click here to see answer by nerdybill(6958)

Question 162682: A swimminng pool is 8ft longer than it is wide. The pool is surrounded by a walkway of width 4 ft. The combined area of the pool and the walkway is 1280 ft squared. find the dimensions of the pool without the walkway.
Click here to see answer by jojo14344(1512)

Question 162735: is9<8
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Question 162795: Brothers Matt and Jeph are leaning a 20-foot ladder against their house. If the ladder reaches 15 feet up the house, how far is the bottom of the ladder from the base of the house? Round to the nearest tenth.
I tried doing
A squared + B squared = C squared and I got 400+225=625 and my answer came out to be 25ft after I found the square root of 625. I just want to know if i'm right.
Click here to see answer by checkley77(12569)

Question 162805: What will it cost to tile a rectangular floor measuring 297 feet by 38 feet if the tile costs $14 per square foot?
I tried:
A=LW
A=297(38)
A= 11,286ft
11286(14)= $158,004
Click here to see answer by checkley77(12569)

Question 162875: Trouble setting this up.
Half the supplement of the angle is 12 degrees less than twice the complement of the angle. Find the measure of the angle.
Thank You in advance for your help.
George
Click here to see answer by nerdybill(6958)

Question 163093: A farmer uses 1200 feet of fence to enclose a rectangular region and also to subdivide the region into three smaller rectangular regions by placing fences parallel to one of the sides. Find the dimensions that produce the greatest enclosed area.
Click here to see answer by ankor@dixie-net.com(15650)

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