Questions on Word Problems: Geometry answered by real tutors!

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Question 270959: Suburban Susie has a backyard that is a square with sides of 100 feet. She wants to have a fence built with one diagonal to separate her yard into two parts. (One for her pool, one for the children playground.) How many feet of fencing will she need to purchase (total feet needed to fence 3 sides of her yard and install the diagonal). Round answer to the nearest tenth of a foot. Show all work.
Click here to see answer by JBarnum(2044)

Question 270960: hello tutor my name is faisal and i have 2 important questions to ask u
1) if the perimeter of a right traingle is 3 meters and the hypotenuse is 145 cm, what is the length of the other 2 sides.
2) A picture's area is 10cm by 8cm and the width is also uniform, it is going to be placed on a mat that is twice the area of the picture, what is the width of the mat?
Click here to see answer by solver91311(16897)

Question 271024: joan bought a garden hose from the hardware store. the hose measured 50 meters in length. which measurement is closest to the lenghth of the hose, in feet?
Click here to see answer by rfer(12670)

Question 270947: You want to build a picture frame from a kit. Each of the four frame pieces is 12 inches long (on the longest edge). To check for "squareness" you plan to measure the diagonals. how long should the diagonal measurement be (at its longeset point) for this frame?

Click here to see answer by rfer(12670)

Question 271103: Two angles are complementary the sum of the measures of the 1st angle and 1/4 the 2nd angle is 84.Find angles.?
Click here to see answer by edjones(7569)

Question 271122: The length of a rectangle is increased to 2 times its original size and its width is increased to 3 times its original size. If the area of the new rectangle is equal to 1800 square meters, what is the area of the original rectangle?
Click here to see answer by mananth(12270)

Question 271131: A square is inscribed in a circle. if the diagonal of the square is 36, find the circumference of the circle.
Click here to see answer by Greenfinch(383)

Question 271099: A swimming pool has to be drained for maintenance. The pool is shaped like a cylinder with a diameter of 13m and a depth of 2m . If the water is pumped out of the pool at the rate of 14m^3 per hour, how many hours does it take to empty the pool?
Use the value 3.14 for pi , and round your answer to the nearest hour.
Click here to see answer by Greenfinch(383)

Question 271164: lf a tree 12 feet high casts a shadow of 1 foot 3 inches and the flag pole next to it casts a shadow of 2 feet and 1 inch, how high is the flag Pole?
(A) 36 feet (B) 30 feet (C) 40 feet (D) 20 feet (E) 16 feet

Click here to see answer by dabanfield(803)

Question 271469: a tree's shadow is 45ft and a yardstick next to the tree casts a shadow of 5ft. how tall is the tree in feet?

Click here to see answer by stanbon(57387)

Question 271497: What is the side of a square if the problem is p=38 in. The perimeter of a square would be the
Click here to see answer by edjones(7569)

Question 271643: Find the cost of painting the outer surface of 24 oil containers at $2.50 per square meter, the dimensions of each container being 60 centimeters by 40 centimeters by 56 centimeters.
Click here to see answer by mananth(12270)

Question 271661: What is the largest possible area of a square cut out of a circle with radius 1 cm?
A π cm^2 b square root 2cm^2 c 2cm^2 d 1cm^2 e π /2 cm^2

Click here to see answer by stanbon(57387)

Question 271846: The area of a square is numerically 3 less than the perimeter. Find the length of the side, if the side is greater than 1.
Click here to see answer by scott8148(6628)

Question 271927: How many square tiles measuring 9 inches each side will be required to cover the floor of a rectangle room whose length is 16 yards and width is 12 yards ?
(assume that one layer of tiles will be required to cover the floor)
a 112 b 2 c 21 d 192 e 3072

Click here to see answer by checkley77(12569)

Question 272074: Find the equation for the line tangent to the circle x^2+y^2=58 at the points (-3,7)
I dont even know where to begin this problem. thanks for the help.
Click here to see answer by stanbon(57387)

Question 272116: The area of a rectangle with perimeter 100 in. is given by the formula: A=50w-w^2 where w is the width. Find the value of w that produces the maximum area.
Click here to see answer by palanisamy(496)

Question 272187: the difference between the length and width of a rectangle is 7 centimeters. what is the dimensions of rectangle if its perimeter is 50 centimers
Click here to see answer by oberobic(2304)

Question 272280: A ladder is leaning against a wall. The angle formed where the ladder meets the wall is 15 degrees. If the lenght of the ladder is 25 feet, how high up the wall will it reach to the nearest tenth of a foot?
Click here to see answer by edjones(7569)

Question 272552: the difference between the length and width of a rectangle is 7 centimeters. find the dimensions of the rectangle if its perimeter is 50 centimeters
Click here to see answer by stanbon(57387)

Question 272686: A boat is 1000 meters from a cliff. If the angle of depression from the top of the cliff to the boat is 15 degrees, how tall is the cliff?
Click here to see answer by mananth(12270)

Question 272736: The perimeter of a rectangle is 40. If its length is 2 more than 5 times its width, find the dimensions of the rectangle.
My solution is -perimeter =L+W
since Length is 2 more than 5 times width then length would be (5w+2)
so I was thinking 40=(2+5w) + w but the answer I get solving for w is 5 which doesn't calculate in my formula as being correct
Click here to see answer by jim_thompson5910(28598)

Question 272852: a right triangle has legs with lengths of 25 cm and 37cm. Find the length of the hypotenuse
Click here to see answer by checkley77(12569)

Question 273195: base of a triangle is 7 feet more than 1/2 height, find height if area of triangle is 170 square feet
Click here to see answer by checkley77(12569)

Question 273487: if yolanda wants to put 2 inches of sand evenly in the botton of the tank. what's the volume of the sand if the measurements are 24in and 12.5in and the height is 2
Click here to see answer by bobdabuildr(27)

Question 273649: The are of a square us 6 times its perimeter find its length
Click here to see answer by colliefan(239)

Question 273775: If the permeter of one base of a cube is 240cm how do I calculate the volume?
Click here to see answer by jim_thompson5910(28598)

Question 273769: 29 inches is the shortest leg of a right triangle whose other leg and hypotenuse are consecutive whole numbers. What is the sum of the lengths of the other two sides?
Click here to see answer by ankor@dixie-net.com(15660)

Question 273573: We want to build a 600 square metre rectangular enclosure, three sides of which
will be built of wooden fencing at a cost of $15 per metre. The remaining side
will be made of cement blocks at $30 per metre. How will we set the dimensions
of the enclosure in order to minimize the cost of materials?
Click here to see answer by ankor@dixie-net.com(15660)

Question 273832: gina has a sheet of cardboard that measures 9 feet by 6 feet. she uses scissors and tape to make the entire sheet of cardboard into closed box that is a perfect cube. What is the surface area of the box
Click here to see answer by checkley77(12569)

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 scott8148(6628)

Question 274244: what is the third side of a triangle if one side measures 10 cm, the second measures 15 cm and the perimeter is 45cm?
Click here to see answer by bmckenzie40(10)

Question 274575: The width of a rectangle is 5 feet more than its length. The area of the rectangle is 36 sqaure feet. What is the length, in feet, of this rectangle?
Click here to see answer by richwmiller(9143)

Question 274708: the perimeter of an equilateral triangle is 240 ft. find the length of an altitude of the triangle
Click here to see answer by edjones(7569)

Question 274788: length of a rectangle field is 155m and its width is 125m find the cost of fencing at the rate of Rs 10 per meter and fielding at it the rate of Rs 15 per square meter.
Click here to see answer by chashmish(8)

Question 274874: In a pair of supplementary angles, one angle measures 24 degrees more than twice the other angle. Find the measure of each angle. I tried it like this: 2x+24+x not sure how to solve this one. Thanks, Meg
Click here to see answer by ankor@dixie-net.com(15660)

Question 275113: The perimeter of a rectangle of length x and width y must be at least 80 centimeters
my answer is xsquared +ysquared is greater than or equal to 80. Whhat am I doing wrong?
Click here to see answer by josmiceli(9697)

Question 275267: In a right triangle one side is 1 unit longer than the other side and the perimeter is 12 feet. Find the length of the hypotenuse.
Click here to see answer by stanbon(57387)

Question 275199: Five times the width of a rectangle is 10 more than its length. If the perimeter of the rectangle is 112 yd, find the dimensions of the rectangle
Click here to see answer by checkley77(12569)

Question 275225: A rectangular lot whose perimeter is 1600 feet is fenced along three sides. An expensive fencing along the lots length costs $20 per foot. An inexpensive fencing along the two sides costs only $5 per foot. the total cost of the fencing along the three sides is $13,000. What are the lots dimensions?
Click here to see answer by Greenfinch(383)

Question 275365: Medicaid spending. The cost in billions of dollars for
federal Medicaid (health care for the poor) can be modeled
by the equation
C = 3.2n + 65.3,
where n is the number of years since 1990 (Health Care
Financing Administration, www.hcfa.gov).
a) What was the cost of federal Medicaid in 2000?
b) In what year will the cost reach $150 billion?
c) Graph the equation for n ranging from 0 through 20.
Click here to see answer by stanbon(57387)

Question 275455: a 26-inch pieve of steel is cut into three pieces so that the second piece is twice as long the first piece, and the third piece is two inches more than three times the length of the first piece. Find the lengths of the pieces.
Click here to see answer by mananth(12270)

Question 275454: The length of a rectangle is 3cm longer than its width. If the perimeter of the rectangle is 26cm , find its area.
Click here to see answer by mananth(12270)

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