Questions on Word Problems: Geometry answered by real tutors!

Tutors Answer Your Questions about Geometry Word Problems (FREE)

Question 139107: Could you please help me out?
The perimeter of a room is 96 feet. The room is rectangular in shape and the length of the room is 8 feet more than the width. What is the area of the room?
Click here to see answer by checkley77(12569)

Question 139094: The front wheels of a wagon measure 3.5ft in diameter. The rear wheels measure 4.25ft in diameter. When the wagon is stopped, a chalk mark is made on both a front and a rear wheel. How far must the wagon travel before both chalk marks return to their initial position at the same time?
Click here to see answer by ankor@dixie-net.com(15667)

Question 139273: Given that 2.54 centimeters (cm) = 1 inch, 12 inches (in) = 1 foot (ft), and there are 5280 ft = 1 mile, how many centimeters are there in one mile?
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Question 139272: If John cleans a house in 8 hours and Julie cleans a similar house in 6 hours, how long should it take them to clean another similar house working together?
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Question 139275: If 30 oranges cost $27.00, how many do 20 oranges cost?
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Question 139276: Janice has enough money to purchase pebbles to cover 74 square feet. She wishes to form a border around her pool. The pool measures 25 ft. in length and 10 ft. in width. How wide should she make the border?
Click here to see answer by solver91311(16897)

Question 139124: Please solve this:
A retangular piece of wood is 12cm longer than it is wide. A strip 1cm wide is cut off all around. This decreses the area by 120 square cm. What were the original dimensions?
Click here to see answer by ankor@dixie-net.com(15667)

Question 139306: the radius of a circle is shown. wich method would you use to find the diameter of the circle?
Click here to see answer by edjones(7569)

Question 139292: The perimter of a triangle is 46 cm. The triangle is isosceles now, but if its base were lenghtened by 6cm and each leg were shortened by 2 cm, it would be equilaterial. Find the base of the original triangle.
Click here to see answer by edjones(7569)

Question 139277: Your relative wants to pick apples from the tree pictured below. Given that the tree casts a shadow of 30 ft. when your 6 ft. neighbor casts a shadow of 10 ft., how long should a latter be to reach the top of the tree?
Click here to see answer by checkley77(12569)

Question 139391:
The length of a rectangle is 1 ft. more than twice the width. The area is 55 sq. ft. Find the length and width?
Click here to see answer by checkley77(12569)

Question 139699: Please solve,
Find the length of the sides of a square if the number of square meters in its area is 1.5 timea the number of meters in its perimeter.
Thank you
Click here to see answer by ankor@dixie-net.com(15667)

Question 139677: Swimming space. The length of a rectangular swimming pool is 2x-1 meters, and the width is x + 2 meters. Write a polynomial that represents the area. Find the area if x is 5 meters.
Click here to see answer by checkley75(3666)

Question 139844: If a socker ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then its height above the earth in feet is given by s(t)=-16t^2+32t where t is time in seconds. Graph this parabola for 0less than or greater than t less than or greater than 2. What is the maximum height reached by the ball?
Click here to see answer by Earlsdon(6291)

Question 139840: A boxing ring is in the shape of a square, 20 ft on each. How far apart are the fighters when they are in opposite corners of the ring?
Click here to see answer by checkley77(12569)

Question 139892: 0Can anybody help me with those problems
1. A room measures 10 feet by 12 feet. The construction crew is going to tile the floor using tiles that are 8 inches square. If each tile costs 48 cents, how much will it cost to tile the floor?
2. Johns runs at a rate of 5 km per hour. He is entered in a 3000 meter race this weekend. Approxiamately how long should it take him to complete the race?
Click here to see answer by jojo14344(1512)

Question 139842: Use the information from Ex. 115 to determine how long Johnson was in the air. For how long was he more than 14ft in the air?
Ex. 115
For 1989 and 1990 Dave Johnson had the highest decathlon score in the world. When Johnson reached a speed of 32ft/sec on the pole vault runway, his height above the ground t seconds after leaving the ground was given by h=-16t^2 + 32t. (The elasity of the pole converts the horizontal speed into vertical speed.)
Click here to see answer by stanbon(57424)

Question 139810: A landscaping company is laying out a triangular flowerbed. The height of the triangle is 12 ft. What lengths of the base will make the area at least 156 ft.2
Click here to see answer by jojo14344(1512)

Question 140085: The floor plan of a house is rectangular. The house's length is 2x – 10 and its width is x + 3. Write an expression for the area of the house and match your result to the the correct answer below.
A)2x2 + 4x – 30
B)2x2 – 4x – 30
C)2x2 + 13x – 30
D)2x2 – 7x – 30

Click here to see answer by vijay(6)

Question 140230: I have a problem that I wanted to check to see if I've figured out the right answer. The hypotenuse of a right triangle is 4 inches long. one leg is 1 inch longer than the other. Find the length of the shorter leg to the nearest tenth.
I have 2.3 is this right. Want to make sure I'm understanding the problem correctly. Thank you.
Click here to see answer by checkley77(12569)

Question 140225: I have a rather detailed problem, could I please have some help solving.
Thank you. The length of a rectangle is 8ft longer than its width, which is the same dimension as the side of a square. If the area of the rectangle is equal to 160 square feet more than the area of the square, what are the length and width of the rectangle?
Click here to see answer by ankor@dixie-net.com(15667)

Question 140195: One tower is 200 ft. high and is 250 feet away from another building that is 150 ft. high. At the same time, two crows, one from each tower, fly off at the same speed heading toward food that is on a level, straight road located between the two towers. The crows reach the food at the same time. How far is the grain from the foot of the first tower (the 200ft one)?
Click here to see answer by scott8148(6628)

Question 140750: The longer leg of a right triangle measures 5 inches less than the hypotenuse. The shorter leg measures 25 inches. Find the length of the long leg.

Click here to see answer by scott8148(6628)

Question 140899: How do I work the following problem?
Increasing cube. Each of the three dimension of a cube wth a volume of x^3 cubic centimeters is increased by a whole number of cetimieters. If the new volume is x^3+10x^2+31x+30 cubic centimeters, and the new height is x+2 centimeters, then what are the new length and width?
Click here to see answer by edjones(7569)

Question 140925: A triangular sail has an area of x^2 + 5x +6 square meters and a height of x + 3 meters. Find the length of the sail’s base. I have worked this problem 3 times and have come up with 3 different answers. I know that A=1/2bh. So in this problem A= x^2 + 5x +6, so x^2 + 5x +6 = 1/2b(x+3). So I multiply both sides of the equation by 2 to remove the fraction. This results in 2x^2 + 10x + 12 = b(2x+6). Then I divided both sides by (2x+6). This is where I start having problems. The latest answer I got is x+3+-(6 over 2x+6)=b. I hope this all makes sense, since I can't format it the way it should look. Any help would be greatly appreciated.

Click here to see answer by Earlsdon(6291)

Question 141832: A small area in front of a building is triangular in shape. The perimeter of the triangle is 37 meters. The second side is one-half of the first side in length. The third side is 3 meters less than the first side. Find the length in meters of each side of the triangular region.
Click here to see answer by checkley77(12569)

Question 141821: The length of a rectangle is 3 inches longer than twice its width w:Write a polynomial expression in standard form in terms of w for the area of the rectangle. Find the area of the rectangle for w=10
Help with this question would be much obliged.

Click here to see answer by checkley77(12569)

Question 142056: dan o leary has decided to plant a garden. he wants to make to make it 10.1 m long and 4.2 m wide. However in order to keep the rabbits out,Dan needs a fence surrounding the garden he decides to make the fence 11.2 m long and 5.0 m wide. what is the area beween the fence and the garden
Click here to see answer by checkley77(12569)

Question 142127: Find the dimensions of a rectangle whose area is 60cm squared and whose perimeter is 38cm.
Click here to see answer by nabla(475)

Question 142168: Mitosis is a process in which a cell divides into 2 indentical cells.For instance,after the first division of a cell there will be 2^1 = 2cells,after the second division there will be 2^2=4 cells,after the third division there will be 2^3 = 8 cells.After how many divisions will there be 64 cells?
Help with this question would really be appreciated.
Click here to see answer by scott8148(6628)

Question 142166: You throw a basketball up in the air. The basketball's height,in feet,is given by the function h= 16t^2 + 30t + 4,where t is the time in seconds after the ball leaves your hand.Use a graphing calculator to find the greatest height the ball reaches.
Help with this question would be very much appreciated.
Click here to see answer by scott8148(6628)

Question 142296: Hello, I am wondering if anyone can tell me if I am in the right direction for answering the following problem.
On a sunny day a flag pole and its shadow form the sides of a right triangle. If the hypotenuse is 35m long and the shadow is 28m how tall is the flag pole.
I have A^2 + 28^2 = square root of 35^2
A^2 + 784 = 35
A^2 = 35-784
A^2 = -749
A^2 = 27.37 meter is what the folow pole is.
I am doing a unit on different types of square and nth root applications and ths is my first time learning such items ( I am in my 40's!!) so any help is appreciated. Thank you.
Click here to see answer by stanbon(57424)

Question 142291: Please if someone could help me with the following question
A car dealer advertised a big sale by stretching a string of banners from the top of the building to the edge of the driveway. If the building is 18m high and then driveway is 49m from the building how long is the string of bannerr. This is what I did but am not sure if this is corret.
18^2 + 49^2 = c^2
324 + 2401 = c^2
2725 = c^2
c = 52.20 ft long.
If anyone can tell me the correct answer to this problem it would be appreciated. Thanks
Click here to see answer by stanbon(57424)

Question 142479: Tom’s uncle owns a triangular piece of land. The perimeter fence that surrounds the land measures 378 yards. The shortest side is 30 yards longer than one-half of the longest side. The second longest side is 2 yards shorter than the longest side. What is the length of each side?
Click here to see answer by Nickolas34(1)

Question 142530: PLEASE HELP !
George built a rectangular pen for his rabbit such that the length is 7ft. less than twice the width. If the perimeter is 40ft. what are the dimensions of the pen?
Click here to see answer by jojo14344(1512)

Question 143206: a) How much water will it take to fill the swimming pool with the dimensions 2.5m by 10m by 6m? ( 1m^3=1000L)
b) How long will it take to fill the pool at a rate of 5L every 30 seconds?
Click here to see answer by checkley77(12569)

Question 143449: Dan and Frank are roommates. They both leave their house on their bicycles at the same time. Dan rides west for 4 miles and then south for 3 miles. Frank rides east for 1 mile and then north for 2 miles. How far apart are they when they both arrive at their destinations?

Click here to see answer by ankor@dixie-net.com(15667)

Question 143493: if sec0=3 and tan0=2sqr root 2 what are the values of
cot0
sin0
cos^2 0
Click here to see answer by nabla(475)

Question 143492: use common trigonometric identities for the functions given to find the indicated trigonometric functions. Pleas show all work give answers in exact form no decimals.
If sin 30 degrees=1/2 and cos30 degrees =sqr root 3/2 what are the values of
tan30degrees
csc30degrees
cot30degrees
Click here to see answer by nabla(475)

Question 143495: a man stands atop a building. he measures the angle of elevation to the building across the street to be 20 degrees and the angle of depression(to the base of the building) to be 35 degrees. if two buildings are 50 feet apart how tall is the taller building. please show all work and find the solution
Click here to see answer by vleith(2825)

Question 143496: a weather balloon B lies directly over a 1000-meter airstrip extending from A to C. The angle of elevation from A to B is 55 degrees and from C to B is 37 degrees. Find the distance from A to B and from C to B. Please show all work. round to the nearest hundredths.
Click here to see answer by Fruglemiester1234(13)

Question 143600: To determine the height of a tree, a student places a 2m rod 24m from the tree. She finds that she can align the top of the rod with the top of the tree when she stands 1.9m from the rod. The student's eyes are 1.6m above the ground. What is the height of the tree.
Click here to see answer by edjones(7569)

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