Questions on Word Problems: Geometry answered by real tutors!

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Question 550803: A woman is 5 times as old as her youngest daughter. How old is each now if the sum of their ages is 50?

Click here to see answer by Alan3354(69443)

Question 550688: using the Golden Ratio. If the pool is 110 feet wide, about how long should it be?
Click here to see answer by ankor@dixie-net.com(22740)

Question 550977: A brace for a shelf has the shape of a right triangle. Its hypotenuse is 10 inches long and the two legs are equal in length. How long are the legs of the triangle?
Click here to see answer by oberobic(2304)

Question 550975: The area of triangular flag is 72 square centimeters. Its altitude is 2 centimeters longer than twice its base. Find the lengths of the altitude and the base.
Click here to see answer by nyc_function(2741)

Question 550992: Find the volume of a cube whose edge is 9x-8y.
Click here to see answer by Alan3354(69443)

Question 550999: the length of the hall is 18metre and the width is 12 metre. the sum of the area of the floor and the flat roof is equal to the sum of the areas of the four walls.find the height of the wall?

Click here to see answer by ankor@dixie-net.com(22740)

Question 551113: A scale model of a library is 5 inches long and 3 inches wide. The actual length of the library is 135 feet. What is the width?
Click here to see answer by mathstutor458(57)

Question 551113: A scale model of a library is 5 inches long and 3 inches wide. The actual length of the library is 135 feet. What is the width?
Click here to see answer by nyc_function(2741)

Question 551200: one man is five times as old as his brother. fifteen years later he will be twice as old. how old are the two men now?
Click here to see answer by ankor@dixie-net.com(22740)

Question 551327: Perimeter of rectangle is 90 length is 6x and width is 2x. What is the length of the longest side
Click here to see answer by Earlsdon(6294)

Question 551426: Suppose you want to use 400 meters of fencing to surround two identical adjacent rectangular plots. Write an equation for the combined area of the plots with respect to the length of one of the sides (x). What dimensions would produce the maximum combined area? What is that maximum combined area?
Click here to see answer by ankor@dixie-net.com(22740)

Question 551492: The height of a box is 10 inches. The length is three inches more than the width. Find the width if the volume is 540 cu inches

Click here to see answer by TutorDelphia(193)

Question 551540: The perimeter of a square is 80 units. What is the measure of one side of the square?
Click here to see answer by mananth(16946)

Question 551594: A rectangle has a perimeter of 34 cm and an area of 52 cm. Its length is 5 more than twice its width. Write and solve a system of equations to find the dimensions of the rectangle.
Click here to see answer by oberobic(2304)

Question 551645: the bases of a trapezoidal field are 225 meters and 125 meters, if the distance between them is ninety-two meters, find its area in hectares
Click here to see answer by fcabanski(1391)

Question 551585: A science museum is going to put an outdoor restaurant along one wall of the museum. The restaurant space will be rectangular. Assume the museum would prefer to maximize the area for the restaurant.
a. Suppose there is 120 feet of fencing available for the three sides that require fencing. Write a quadratic equation for the area of the restaurant in terms of either the length or width of the fencing. (Note: Your equation should contain either the length or the width, not both! Think of how you can rewrite the equation in terms of just one of these variables using the perimeter.)
b. In order to maximize the area, what will be the length of the longest side of fencing?
Click here to see answer by ankor@dixie-net.com(22740)

Question 551677: It would take Maricar 10 hours working alone to clean all hotel rooms, while it would take Marivic only 8 hours. How long would it take them to do the job together?
Click here to see answer by Edwin McCravy(20054)

Question 551703: A square has a diagnol of 13 inches. What are the dimensions of the square?
Click here to see answer by mananth(16946)

Question 551427: A farmer with 1000 meters of fencing wants to enclose a rectangular plot that borders along a straight river. If the farmer does not want to fence along the river, what is the largest area that can be enclosed? What dimensions produce that area?
Click here to see answer by KMST(5328)

Question 551842: find the area of a triangle with a base of 16 meters and an altitude of 7 meters.
Click here to see answer by jim_thompson5910(35256)

Question 551844: A trapezoid with a height of 8ft has bases of legths 14ft and 12ft. Find the area of the trapezoid.
Click here to see answer by jim_thompson5910(35256)

Question 551880: the length of 2 inch in centimeters rounded to the nearest whole number
Click here to see answer by jim_thompson5910(35256)

Question 551955: The measures of angles of a hexagon are in the ratio 4:6:6:7:8:9. Find the measure in each angle.
Click here to see answer by josmiceli(19441)

Question 551960: Could you please help me solve this problem?....
One side of a kite is 6cm less than the length of another. The perimeter of the kite is 68cm. Find the length of each side of the kite.
Click here to see answer by josmiceli(19441)

Question 552056: what is the height of a triangle that has an area of 60 yard squared and a base with a length of 12 yards
Click here to see answer by TutorDelphia(193)

Question 552071: A wire is first bent into the shape of a rectangle with width and length . Then the wire is unbent and reshaped into a triangle. If each side of the triangle has equal length, what is this length?
Click here to see answer by Theo(13342)

Question 552207: A man is 6 feet tall and standing 80 feet from a flag pole with 35 degree incline. How tall is the flag pole?

Click here to see answer by stanbon(75887)

Question 552409: below is a 3by3by3cube not all of the cubes are visible. suppose the entire outside of the cube is painted red including the bottom. how many different 2 by 2 by 2 cubes with exactly three red faces can be found in the shown cube?
Click here to see answer by KMST(5328)

Question 552394: A rectangular patio is 12 feet long and 8 feet wide. The owner wants to increase both dimensions by the same amount resulting in a patio that has an area of 221 sq. ft. Write and solve an equation to find out how much the owner should increase each dimension.
Click here to see answer by mananth(16946)

Question 552522: The measure of 2 angles are in the ratio of 4:5. THe larger of the two angle is 60 less than twice the smaller angle. Find the measure of each angle. Thank you
Click here to see answer by stanbon(75887)

Question 552592: 1) A flagpole is next to a building as shown in the drawing. The flagpole is 30 feet tall and casts a shadow of 120 inches. The building casts a shadow of 648 inches long. How tall is the building in feet?
Click here to see answer by vleith(2983)

Question 552597: A polyhedron with 6 vertices and 12 edges is shown below. What is the total number of faces for this polyhedron?
Click here to see answer by AnlytcPhil(1806)

Question 552681: The width of a rectangle is 9x and the length is 3X + 11 solve for x then find the peremeter.
I have to give the equation, the value of x, and the peremeter.
I don't think I'm on the right track, but here is what I have tried.
P= 2(3x+11) + 2(9x)
P= 6x + 22 + 18x
P= 24x + 22
Click here to see answer by jim_thompson5910(35256)

Question 552723: . A farmer wants to enclose a circular pen with a square fence, as shown below.

If the circumference of the circular pen is about 35 feet, which of the following is the best estimate for the amount of fencing needed?
Click here to see answer by Earlsdon(6294)

Question 552964: A Piece of wire of length 84cm is cut into two parts. Each part is then bent to form a square. It is found that the combined area of two squares is 281Sq.cm. Find the sides of the squares.
Click here to see answer by JBarnum(2146)

Question 552830: If the circumference is 64pi what is the area, radius and diameter

Click here to see answer by JBarnum(2146)

Question 553041: the length of a rectangle is 6 cm less than twice its width. find the dimintions of the rectangle if its area is 108 cm2
Click here to see answer by TutorDelphia(193)

Question 553018: The sum of the measures of two consecutive sides of a parallelogram is 24cm find its perimeter?
Click here to see answer by rapaljer(4671)

Question 553297: (k,-3)(-2,-2) what is the value of k
Click here to see answer by mananth(16946)

Question 553632: The length of a rectangle is three and one half times the width. If the area of the rectangle is 12m squared, find the width. I already have the answer from the key but would really like to know how to do it correctly. Thank you
Click here to see answer by mananth(16946)

Question 553649: The rain that falls on a house roof 11m x 6.75m is channeled into a cistern that is 2.5m in diameter. How much rainfall on the roof would it take to fill the cistern to a depth of 2m? I can calculate the amount water in the cistern but can't figure out the amount of rainfall needed on the roof. Thank you
Click here to see answer by Earlsdon(6294)

Question 553671: Joseph leans a ladder that us 15 feet long against a building. The ladder is 12 feet away from the building. How far up does the ladder touch the side of the building?
Click here to see answer by mananth(16946)

Question 553702: A cubical lantern needs wire as frame. If each edge is 25cm, what is the least length of wire needed if joints are soldered?

Click here to see answer by Theo(13342)

Question 553655:
The figure above shows a right circular cylindrical vessel that is exactly one-quarter full. If 7 liters of liquid are added, the vessel will be exactly three-fifths full. What is the total capacity of the vessel, in liters?

Click here to see answer by Earlsdon(6294)

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