Questions on Word Problems: Geometry answered by real tutors!

Tutors Answer Your Questions about Geometry Word Problems (FREE)

Question 243238: A raingutter is made from sheets of aluminum that are 18 inches wide by turning up the edges to form right angles. Determine the depth of the gutter that will maximize its cross-sectional area and allow the greatest amount of water to flow.
Click here to see answer by ankor@dixie-net.com(22740)

Question 243382: One refrigerator holds 2 2/3 cubic feet of food and another holds 5 3/4 cubic feet of food.
Express the ratio of the capacities as a ratio of whole numbers.
I am having a hard time figuring this out. Can someone please walk me through on how to solve this problem? It will be greatly appreciated.
Click here to see answer by rapaljer(4671)

Question 243865: what is the measure of the complement of 19 angle
Click here to see answer by Theo(13342)

Question 244013: the perimeter of a rectangular garden is 84ft the length of the garden is twice the width what is the width of the garden

Click here to see answer by rfer(16322)

Question 244046: what is the area of a regular hexagon if it has 400ft sides?
Click here to see answer by Alan3354(69443)

Question 244333: Each side of a square is increased by 3 cm, increasing its are by 39cm(squared). Find the dimensions of the original square.

I know that each side of a square increased by 3c, is 64m(squared).
Click here to see answer by scott8148(6628)

Question 244357: A flag pole 24 feet high is 10 feet away from the base of its anchor cable. How long is the anchor cable?
Click here to see answer by unlockmath(1688)

Question 244427: a rectangle table is 4 times long as it is wide. if the area is 100ft, find the length and width of the table
Click here to see answer by kirti251(6)

Question 244512: The area of a rectangular garden is 54 square meters. The Width is 7 meters longer than one-third of the length. Find the length and the width of the garden.
Click here to see answer by solver91311(24713)

Question 244764: "It took a faster runner 10 seconds longer to run a distance of 1500 feet than it took a slower runner to run a distance of 1000 feet. if the rate of the faster runner was 5 ft/s more than the rate of the slower runner, what was the rate of each?"
Click here to see answer by ankor@dixie-net.com(22740)

Question 244827: The length of a rectangle is 3 meters longer than the width. If the area is 33 square meters, find the rectangle'a dimensions.
Click here to see answer by richwmiller(17219)

Question 244914: A pole 24 feet high has a shadow 8 feet long. A nearby pole is 72 feet tall, how long is its shadow?
Do I set this up as a ratio? 8/24...x/72? cross mulitply?
Click here to see answer by stanbon(75887)

Question 244986: Please help, I tried everything: A pool has a 6ft high fence around it. The fence is 8ft from the edge of the pool all around the curved portion only. How many rolls of fencing each containing 100 linear feet must be purchased to fence the pool.
Click here to see answer by richwmiller(17219)

Question 245041: The number of boys in ninth grade is 12 less than twice the number of girls. There are 51 students in ninth grade. How many are girls?
Click here to see answer by stanbon(75887)

Question 244979: a rectangle has a perimeter of 160' and the width is x and the lenght is 2x-10. What would the area also be.
Click here to see answer by checkley77(12844)

Question 245193: suppose x and y are similar. The demenstions of rectangles x are 5 cm by 7 cm. The area of rectangle Y is 140 square cm. What are the dimensions of rectangle Y?
I know i have to find a scale factor between the two rectangles. Please help. Thank you
Click here to see answer by solver91311(24713)

Question 245348: Please help me with this word problem: a glider flies 8 miles south from the airport and then 15 miles east. then it flies in a straight line back to the airport. What was the distance of the gliders last leg back to the airport?
Click here to see answer by unlockmath(1688)

Question 245404: The length of a rectangle is 4 times the width. The perimeter is 200 ft. Find the length & width of the rectangle.
Click here to see answer by richwmiller(17219)

Question 245440: a 45 ft by 35 ft rectangular barn sits inside of a pasture. a 75 ft rope, to which a goat is tied, is mounted to the midpoint of the longer side of the barn. what is the total grazing area of the goat?
Click here to see answer by solver91311(24713)

Question 245501: Find the measure of an angle whose supplement measures 5 degrees greater than six times its complement?
Click here to see answer by solver91311(24713)

Question 245500: the distance between dodgeville and lexington is 360 miles. On a certain map, this distance is represented by 15 inches. On the same map, rockport and springtown are 21 inches apart. What is the actual distance between rockport and springtown?
Click here to see answer by solver91311(24713)

Question 245537: Find a right triangle with side lengths that are intergers with an area of 84.
Click here to see answer by Alan3354(69443)

Question 245671: I have no clue how to set up this word problem, I think it has to do with factoring, but I don't know how to set it up: If the width of a rectangular box is increased by 2cm and the length is increased by 1cm the volume of the resulting box is 96cm^3 greater than the volume of the original box. Find the dimensions of the original box.
Click here to see answer by TheProdicalSon(34)

Question 245660: I am a pentagon. My perimeter is 35 inches. Each of my sides is the same length. How long is one of my sides?
Click here to see answer by Alan3354(69443)

Question 245724: The hypotenuse of a right triangle is 25 m long. The length of one leg is 10 m less than twice the other. Find the length of each leg.
Click here to see answer by richwmiller(17219)

Question 245766: a rectangle has sides of length 7 and 12, if the perimeter of a similar rectangle is 95. Find the length of its shorter side
Click here to see answer by edjones(8007)

Question 245879: Square corners, five units on a side, are removed from a twenty unit by thirty-unit rectangular sheet of cardboard. The sides are folded to form an open box. Find the surface area of the exterior of the box, in square units.
(A)200 (B) 375 (C) 475 (D) 500 (E) 600
Click here to see answer by solver91311(24713)

Question 245876: Determine the area of the quadrilateral whose vertices are (1,3), (6,5), (9,1) and
(3,-3).
Click here to see answer by solver91311(24713)

Question 245941: Making a simming pool
The Rectangular shape is 2 m longer then twice the width.
I was going to use 12 meter wide and 14 meter long..is this correct? What is the appropriate depth?
What is a formula for calculating the volume of material needed to fill your element.
Click here to see answer by solver91311(24713)

Question 245953: I have to draw up plans for a landscape design. I am going to design a hockey rink
The rectangle shape is 2m longer then twice the width. I must choose an appropriate depth for my design element. What would that be?
What would be the formula for calculating the volume of material needed to fill my element?
Then I need to use the formula to calculate the volume of material needed for widths of 2m, 3m, 4m and 5m. Which width is better and why?
Many thanks for your help!!!!
Click here to see answer by solver91311(24713)

Question 245963: A flag pole 24 feet high is 10 feet away from the base of its anchor cable. How long is the anchor cable?
Click here to see answer by solver91311(24713)

Question 245990: Using the existing elevation of the Big Island of Hawaii, and an assumed lava flow-rate from the hot spot of 300,000 cubic-meters per second, how long did it take to form the Big Island of Hawaii? Please show assumptions, formulas, and your calculation.
Click here to see answer by oberobic(2304)

Question 246096: I am to find a polynomial for the remaining area of a rectangular shaped corral measuring 23m by 17m, after a circular based silo of x meters is built inside of it. Thus far, I have A=23m X 17m - nr^2. Is this correct?
Click here to see answer by richwmiller(17219)

Question 246217: What is the answer to this problem? I'm having a hard time with it?
A scalene triangle has three unequal sides. The perimeter of a scalene triangle is 144 m. If the first side is twice as long as the second side and the third
side is 24 m longer than the second side, then what are the measures of the sides?

Click here to see answer by Earlsdon(6294)

Question 246538: Find the measures of one of the exterior angles at the base of an isosceles triangle if one of the angles of the triangle is 80 degrees??
Click here to see answer by richwmiller(17219)

Question 246586: Hello,
Help!! Help!! Help!!
I have submitted these two problems three time can someone please help me, I really would appreciate your assistance, I need to get these answer in today or I fail the assignment.
a. Find the vertex, the axis of symmetry, and the maximum or minimum function
value and,

b.graph the function

1. Complete the square to find the x-intercepts of each function given by the equation listed;

2.
Please help me, I desperate. Thank you
Tammt
Click here to see answer by edjones(8007)

Question 246886: i need to find the length of a rectangle which is 4 more than the width. if the area of the triangle is 96 sq inches, i have to find the dimensions of the triangle.
Click here to see answer by dabanfield(803)

Question 246908: If the base of a ladder is placed on the ground 4ft from a house, how tall must the ladder be (to the nearest foot) to reach the chimney top that extends 18.5ft above the ground?
Click here to see answer by richwmiller(17219)

Question 246812: A rectangle is always a square?
Click here to see answer by Jeff Gordon(65)

Question 247155: A square and a triangle have equal perimeters. The lengths of the three sides of the triangle are 6.1 cm, 8.2 cm and 9.7 cm. What is the area of the square in square centimeters?
(A)24 (B) 25 (C) 36 (D) 48 (E) 64

Click here to see answer by stanbon(75887)

Question 247186: Please help me solve this word problem:
The difference between two numbers is 2. Find the numbers if their sum is 32.
Click here to see answer by College Student(505)

Question 247186: Please help me solve this word problem:
The difference between two numbers is 2. Find the numbers if their sum is 32.
Click here to see answer by edjones(8007)

Question 247276: If the volume of the box is 1600 cubic centimeters, what are the dimensions of the box if no side can be greater than 25 centimeters?
Click here to see answer by richwmiller(17219)

Question 247315: please help me slove this equation:
6-3(5x+2)-10x
Click here to see answer by College Student(505)

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