Questions on Word Problems: Geometry answered by real tutors!

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Question 137369: Find three consecutive integers such that the sum of their squares is 77.
Click here to see answer by Osterm38(2)

Question 137370: A guy wire of length 50 feet is attached to the ground and to the top of an antenna. The height of the anenna is 10 feet larger than the distance from the base of the antenna to the point where the guy wire is attached to the ground. What is the height of the antenna?
Click here to see answer by scott8148(6628)

Question 137368: Factor completely.
16x^2 - 2x - 3
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Question 137367: Factor each polynomial completely.
t^2 - 9w^2
Click here to see answer by scott8148(6628)

Question 137381: What is the slope of a straight line in common terms? What is the slope of the line connecting (0,4) and (3,0)?
Click here to see answer by checkley77(12844)

Question 137376: Let y=2x-7. Make a simple graph of this equation. In what form is the equation? What is its slope? Where does it cross the y axis?
Click here to see answer by checkley77(12844)

Question 137206: The length of a rectangle is 3 cm is less than twice its width. A second rectangle is such that each dimension is the reciprocal of the corresponding dimension of the first rectangle. The perimeter of the of the second rectangle is 1/5 the perimeter of the first. Find the perimeter of the first rectangle.
Click here to see answer by ankor@dixie-net.com(22740)

Question 137378: You are the new sales manager at Ford. In March you sell 50 new fords. In May you sell 60 new Fords. If the current trend continues, how many might you sell in October? Use formulas for slope and slope-intercept to arrive at your answer.
Click here to see answer by checkley77(12844)

Question 138370: The height h of an object t seconds after it is dropped off a building is given by the equation h=-16t^2+144. How many seconds after the rock is dropped will it hit the ground?
Click here to see answer by stanbon(75887)

Question 138559: a square has an area of 225 square feet . Find the length of each side
Click here to see answer by checkley77(12844)

Question 138606: a rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. 696 feet of fencing is used. Find the maximum area of the playground
Click here to see answer by ankor@dixie-net.com(22740)

Question 138849: The sum of the measures of the three angles of a triangle is 180 degrees .Find the three angles if two angles are the same and the third angle is 60 degrees more than the other two.
Click here to see answer by edjones(8007)

Question 138912: the length of a rectangle is 7cm more than five times the width. the perimeter is 254 cm. find the area of the rectangle
Click here to see answer by checkley77(12844)

Question 139108: Could you please help me out?
A square and an equilateral triangle have the same perimeter. Each side of the triangle is 4 inches longer than each side of the square. What is the perimeter of the figures? What is the area of the square?
Click here to see answer by ankor@dixie-net.com(22740)

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(12844)

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(22740)

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?
Click here to see answer by solver91311(24713)

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?
Click here to see answer by solver91311(24713)

Question 139275: If 30 oranges cost $27.00, how many do 20 oranges cost?
Click here to see answer by solver91311(24713)

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(24713)

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(22740)

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(8007)

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(8007)

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(12844)

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(12844)

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(22740)

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(6294)

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(12844)

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(1513)

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(75887)

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(1513)

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(12844)

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(22740)

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(8007)

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(6294)

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(12844)

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(12844)

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(12844)

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)

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