Questions on Word Problems: Geometry answered by real tutors!

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Question 240524: The height of a cylinder is twice the diameter. Express the total surface area A as a function of the height h.
This question really stump me can you show the work as well for me?
Click here to see answer by scott8148(6628)

Question 240332: The midpoints of the sides of a square are connected to form a second square.The
midpoints of the sides of the second square are then connected to form a third square, and successive side midpoints are connected in the same way to form a fourth, fifth and sixth square. The area of the original square is 64 square inches. Determine the number of square inches in the area of the sixth square.

Click here to see answer by ankor@dixie-net.com(15660)

Question 240740: The length of a certain rectangle is 3 cm greater than its width. If the width were doubled and the length were decreased by 1 cm, the new rectangle would have the same perimeter as the original. Find the dimensions of the original rectangle.
Click here to see answer by edjones(7569)

Question 240956: 2. Suppose that the width of a rectangle is three feet shorter than length and that the perimeter of the rectangle is 84 feet.
a) Set up an equation for the perimeter involving only L, the length of the rectangle.
Answer:
b) Solve this equation algebraically to find the length of the rectangle. Find the width as well.
Answer: Length 22.5, Width 19.5
Show your work here:W=L-3
2W+2L=84
2(L-3)+2L=84
2L-6+2L=84
4L=84+6
4L=90
L=90/4
L=22.5 ANS. FOR THE LENGTH.
W=22.5-3=19.5 ANS. FOR THE WIDTH.
PROOF:
2*19.5+2*22.5=84
39+45=84
84=84

Click here to see answer by checkley77(12569)

Question 241053: The ratio of the diameters of two circles is 1:4. The ratio of their radii is
A) 1:2 B) 1:4 C) 1:8 D) 1:16
Click here to see answer by edjones(7569)

Question 241152: A cylindrical container has 3 inches of water in it and is being filled at a rate of 1/2 inch per minute. The volume, V, of the water in the container is given by the function: V(h)=(π/4)h^3. Write a formula for the volume in terms of the time in minutes. Then, calculate the ammount of time that will take to fill the container to 70 cubic inches.
please.....help!!!!! i have been working from 2 hours!!!!!
and also (π = pi)mathematic pi.
Click here to see answer by ankor@dixie-net.com(15660)

Question 241310: George Ferris built the first Ferris wheel for the World’s Exposition in Chicago in 1892. Its diameter was 250 ft. If this wheel rotated once every 5 minutes, what was the speed of a car on the circumference of the wheel in feet per second?
A) 157 ft/min B) 15.7 ft/sec C) 2.618 ft/min D) 2.618 ft/sec E) 157 min/hr
Click here to see answer by Theo(3464)

Question 241309: The longest escalator in the world is located in Hong Kong, China. The escalator has a length of 745 ft and rises 377 ft vertical from start to finish. What is the horizontal distance from the bottom of the escalator to the top of the escalator?
A) 368 B) 643 C) 412896 D) 377 E) 600
Click here to see answer by checkley77(12569)

Question 241557: How many different triangles, with integer side lengths, have a perimeter of 8?
A) 0 B) 1 C) 2 D) 3 E) 4
Click here to see answer by checkley77(12569)

Question 241555: The ratio of the area of two circle is 16/9. What is the ratio of their circumference?
a. 4/3 b. 16/9 c. 32/18 d. 256/81
Click here to see answer by edjones(7569)

Question 242050: Two positive numbers differ by 11, and their square roots differ by 1. Find the numbers
Click here to see answer by solver91311(16897)

Question 242153: If the area of a square is 121 square inches, find the length of the sides of the square.
Click here to see answer by rapaljer(4667)

Question 242354: Brian and his sister, Linda, agreed that they would each mow one-half of the lawn. The lawn is 25 feet by 45 feet rectangle. the lawn mower cuts a path two feet wide. If Brian starts at one corner and mows a path completely around the outside, how many times should he go around to mow one half of the lawn? Be sure to include your calculations for the entire yard and each trip Brian will take. I'm not even sure where to start!
Click here to see answer by stanbon(57387)

Question 242392: If there are 10 squares that have 15ft long sides, and they can share sides, what is the least amount of wire needed to construct all 10 sauares?
Click here to see answer by Edwin McCravy(8909)

Question 242417: The perimeter of Wyoming is 1280 miles. The width is 90 miles less then the lenght. Find the width and the length.
and the other question is
3(t-2)>or equal to 9(t+2)

Click here to see answer by College Student(505)

Question 242492: The length of a rectangle is 30cm less than three times the width. The perimeter of this rectangle is 180cm. What are the dimensions of this rectangle?
Click here to see answer by checkley77(12569)

Question 242582: An isoscles right triangle has a perimeter of 25 inches, what is the length of the hypotenuse to the nearest ten thousandth?
Please help, thank you very much!
Click here to see answer by unlockmath(1603)

Question 242877: the perimeter of the larger square is 20 cm and the perimeter of the smaller square is 16 cm. The area of the region between the two squares is:
a. 1 cm2 b. 2 cm2 c. 4 cm2 d. 9 cm2 e. None
Click here to see answer by onlinetutor123(2)

Question 242874: A mother rabbit has twelve baby bunnies. Six of the babies are brown, six of the babies have floppy ears, and six of the babies have long hair. All of the bunnies have at least one of these three traits. Two baby bunnies are brown and have floppy ears. Four baby bunnies are brown with long hair. Two baby bunnies have floppy ears and long hair but are not brown. One baby bunny is brown with long hair and floppy ears. Four baby bunnies are white with short hair and floppy ears. How many bunnies are brown with long hair, but don't have floppy ears? (Hint: If a baby bunny is brown with floppy ears, it may or may not have long hair--leave the option open until you are sure!)
I've tried making a bunch of Venn Diagrams, but I can't seem to come up with the right answer.
Thank you for your help.
Click here to see answer by Edwin McCravy(8909)

Question 242491: The length of each side of an equilateral triangle is 5 centimeters more than the length of each side of a square. The perimeter of the two figures are equal. Find the lengths of the of the square and of the triangle.
I really don't know where to start all I know is that you have to define the variable and write a formula and use it to solve the problem. Please and thank you !
Click here to see answer by ankor@dixie-net.com(15660)

Question 242656: the perimeter of right triangle is 12cm find the measure of its angle if one leg is 2cm greater than the other leg. sir thanks.. help me
Click here to see answer by nyc_function(2733)

Question 242546: A red ball and a green ball are
simultaneously tossed into the air. The red ball is given an
initial velocity of 96 feet per second, and its height t seconds
after it is tossed is 16t2 96t feet. The green ball
is given an initial velocity of 80 feet per second, and its
height t seconds after it is tossed is 16t2 80t feet.
a) Find a polynomial D(t) that represents the difference in
the heights of the two balls.
b) How much higher is the red ball 2 seconds after the
balls are tossed?
c) In reality, when does the difference in the heights stop
increasing?
Click here to see answer by ankor@dixie-net.com(15660)

Question 242960: The length of a rectangle field is twice its width. Find the length and width of the field if the perimeter of the field is 240 meters.
Click here to see answer by unlockmath(1603)

Question 242992: A rectangular piece of cardboard 11 in by 14 in is made into a box by cutting identical squares from each corner and folding up the sides. If the bottom of the box turns out to have an area of 80 sq. in. what size squares were cut from the corners?
Click here to see answer by JimboP1977(308)

Question 242998: Please help me solve: A landscaper wants to enclose a rectangle garden with a fence. There is 80 feet of fence availabled for this job. What would the dimesions of the garden be if he wants to maximize the area of the garden?

I know area=length*width and 2x+2y=80, but then I got stuck.
Thanks in advance for your help!
Click here to see answer by checkley77(12569)

Question 243013: Originally the dimensions of a rectangle were 12 cm by 7 cm. When both dimensions were decreased by the same amount, the area of the rectangle decreased by 34 cm^2. Find the dimensions of the new rectangle.
Click here to see answer by oberobic(2304)

Question 243047: The perimeter of a rectangle is 16 times the width. THe length us 12cm more than the width. WHat is the length and width of the rectangle? I can't figure out the formula to solve the problem.
Click here to see answer by oberobic(2304)

Question 243135: A building casts a shadow 26 m long. At the same time, the shadow cast by a 63 cm tall pole is 60 cm long. Find the height of the building.
A. 145.4 m B. 27.3 m C. 25.8 m D. 24.8 m E. 23.3 m
Click here to see answer by nyc_function(2733)

Question 243109: A rectangle´s length is 8 cm more than three times its width. If the perimeter is 128 cm, find
the length and width.
Click here to see answer by checkley77(12569)

Question 243191: If a room is 30 ft long by 6 yd wide, write the ratio of the length to the
width of the room.
Click here to see answer by checkley77(12569)

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(15660)

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(4667)

Question 243865: what is the measure of the complement of 19 angle
Click here to see answer by Theo(3464)

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(12670)

Question 244046: what is the area of a regular hexagon if it has 400ft sides?
Click here to see answer by Alan3354(30993)

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(1603)

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(16897)

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(15660)

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(9143)

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(57387)

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(9143)

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