Questions on Word Problems: Geometry answered by real tutors!

Tutors Answer Your Questions about Geometry Word Problems (FREE)

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(519)

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(69443)

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(7384)

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(22740)

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(1513)

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(7384)

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(1513)

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(12844)

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(12844)

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(7384)

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(22740)

Question 163280: What are the x-intercept and y-intercept of a linear equation?
(ii) What are their coordinates on a graph?
Coordinates are the points through which line passes.
(iii) How can they be used to graph a line?
If we are given 2 coordinates of the line, locate the two points. A line joining these two points will be required line.
iv)Demonstrate by determining the intercepts of "14x + 7y = 21".

Click here to see answer by vleith(2983)

Question 163505: Solve the following equations.
1) 2x = 7x + 2
2x - 7x = 7x - 7x + 2
-5x = 2
x = -2/5

2) y/5 = 4
y/5 * 5 = 4 * 5 (Multiply both sides by 5)
y = 20

3) x/2 - 3 = 4
x/2 - 3 + 3 = 4 + 3
x/2 = 7 (Multiply both sides by 2)
x = 14

4. OH NUTS! SELLS CASHEWS FOR $6.75 PER POUND AND BRAZIL NUTS FOR $5.00 PER POUND. HOW MUCH OF EACH TYPE SHOULD BE USED TO MAKE A 50lb MIXTURE THAT SELLS FOR $5.70 PER POUND?

5. Try 5x - 7y = 35
What are the x and y intercepts? Graph your answer use any method of your choice to solve.

Click here to see answer by KnightOwlTutor(293)

Question 163790: Find the area of a cement walk 3 feet wide that surrounds a rectangular plot of ground 86 feet long and 42 feet wide?
Click here to see answer by stanbon(75887)

Question 163791: A circular pool is 34 feet in diameter and has a flag stone walk around it that is 3 feet wide. Find the area of the walk. Express the answer in terms of pie.
Click here to see answer by stanbon(75887)

Question 163792: (1). How can $5,400 be invested, part of it at 8% and the rest of it invested at 10%, so that the two investments will produce the same amount of interest.
(2). Two cars start from the same place traveling in opposite directions. One car travels 4 miles per hours faster than the other car. Find the speed their speeds if after 5 hrs they are 520 miles apart.
(3). A tamk contains 50 gallons of a 40% solution of anitfreeze. How much solution needs to be drained out and replaced with pure anti-freeze to obtain 50% solution?
Click here to see answer by stanbon(75887)

Question 163826: The width of a certain rectangle exceeds twice its length by three inches, and four times its lenght is twelve less than its perimeter. Find the dimensions of the rectangle.
this is what i have so far, but am stuck.
P=2L+2W
W=2L+3
P=2L+2(2L+3)
Click here to see answer by Fombitz(32388)

Question 163842: The length of a rectangle is 7 units more than its width. If the width is doubled and the length is increased by 2, the area is increased by 42 square units. Use an algebraic solution to find the dimensions of the original rectangle.
Click here to see answer by nerdybill(7384)

Question 163911: 1. this has to do with complementary and supplementary angles word problem.
The supplement of an angle added to the complment of the angle gives 210 degrees. What is the measure of the angle?
2. the second question has to do with finding a perimeter
P=278
5x+1 length x width 5x+1 length and x for width. Im basically working with an upside down rectangle like a cylinder.
Click here to see answer by orca(409)

Question 163950: a cylindrical vessel, without lid, has to be tin-coated on its both sides. if the radius of the base is 70cm and its height is 1.4m, calculate the cost of tin coating at the rate of Rs3.50 per 1000m2.

Click here to see answer by gonzo(654)

Question 164054: Translate the following into a quadratic equation and solve it: The length of a rectangular garden is three times its width; if the area of the garden is 75 square meters, what are the dimensions?
Click here to see answer by oscargut(2103)

Question 164518: Please help me solve this Word problem:
The length of a rectangle is 3cm greater than its width. Find its dimensions, if the perimeter of the rectangle is 26cm.
Click here to see answer by jim_thompson5910(35256)

Question 164571: Suppose a right triangle has a hypotenuse which is 2 cm longer than one leg and 9 cm longer than the other leg. Find the area of this right triangle.
Click here to see answer by stanbon(75887)

Question 164529: Please help me solve this Word Problem:
Kelly had 12 dollars and spent x dollars. Ami had 6 dollars an collected x dollars. The two girls then had the same amount of money. Form an equation and solve it to find the value of x.
Click here to see answer by ptaylor(2198)

Question 164604: The perimeter of one square exceeds that of another by 16 and its area is 44 less than 4 times the area of the other. What is the length of the side of each side of each square?
Click here to see answer by Fombitz(32388)

Question 164713: What is the perimeter of a rectangle 29 in wide, 22 in long?
Click here to see answer by edjones(8007)

Question 164700: The measure of an angle is 20 degrees less than three times its supplement. Find the measure of each angle.
I need to find out how to do this proble, my teacher already gave me the answer.
Click here to see answer by checkley77(12844)

Question 164854: The legs of a right triangle differ by 2 cm. and the hypotenuse is 4 cm. more than the shorter leg. Find the sides of the triangle?
please give the answer QUICKLY because I need to submit this tomorrow...tnx
Click here to see answer by MRperkins(300)

Question 164862: The perimeter of one square exceeds that of another by 16 and its area is 44 less than 4 times the area of the other. What is the length of the side of each side of each square?
Click here to see answer by gonzo(654)

Question 164951: order these from least to grestest 2/5 3/4 2/3
Click here to see answer by nerdybill(7384)

Question 164951: order these from least to grestest 2/5 3/4 2/3
Click here to see answer by checkley77(12844)

Question 165023: the width of the rectangle is one-fourth of its length. if the perimeter is 40cm, find the dimensions of the rectangle.
Click here to see answer by ptaylor(2198)

Question 165148: the perimeter df a standard basketball court is 288ft.find the dimentions of the basketball court if it's length is 44ft.longer than it's width.
Click here to see answer by orca(409)

Question 165149: the perimeter df a standard basketball court is 288ft.find the dimentions of the basketball court if it's length is 44ft.longer than it's width.
Click here to see answer by nerdybill(7384)

Question 165147: the perimeter df a standard basketball court is 288ft.find the dimentions of the basketball court if it's length is 44ft.longer than it's width.
Click here to see answer by nerdybill(7384)

Question 165146: the perimeter df a standard basketball court is 288ft.find the dimentions of the basketball court if it's length is 44ft.longer than it's width.
Click here to see answer by nerdybill(7384)

Question 165257: The width of a rectangle is 3 feet less than its length. If the perimeter is 22 feet, what is the width? (Pre-Algebra) By Charles P. Mckeague, fifth addition.

Click here to see answer by nerdybill(7384)

Question 165358: the perimeter of a rectangle is 66 ft. the width is 15 ft less than 1/2 the length. find the dimensions of the figure.
i am helping my niece with her homework and haven't done algebra or geometry in forever. i viewed the list of solved problems and found 2 that are similar. i got as far as p=2w+2l, 66=30-? instead of +?...and then i'm stuck because of the fraction too. thanks, jeho
textbook: algebra2 with geometry
Click here to see answer by Mathtut(3670)

Question 165515: A circular pool is 34 feet in diameter and has a flag stone walk around it that is 3 feet wide. Find the area of the walk. Express the answer in terms of pie
Click here to see answer by Mathtut(3670)

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