Questions on Word Problems: Geometry answered by real tutors!

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Question 1112333: A family owns two corner lots of land that form a trapezoid with bases of 200 feet and 175 feet and a height of 60 feet. They decide to sell the triangular piece of land. How much land will they have left after the sale?

Click here to see answer by addingup(3677)

Question 1112228: Two regular quadrilateral vinyl tiles each of 1 ft sides overlap each other such that the overlapping region is a regular octagon. What is the area of the overlapping region?
Click here to see answer by KMST(5328)

Question 1112327: A rectangular tank with base dimensions 50cm x 20cm and height 40cm is half filled with water. A solid cylinder with diameter 12 cm and length 40cm is fully submerged in the water that is in the tank.
A) find the exact volume of the cylinder
B) find the increase in depth of the water, to the nearest mm
Click here to see answer by ikleyn(52778)

Question 1112355: The sides of a rectangle field are 50 and 120 feet. How many seconds are saved if a man walking at the rate of 4 feet per second takes the diagonal shortcut across the feild insted of walking along the two sides?
Click here to see answer by stanbon(75887)

Question 1112453: 1) The first hill of the Millennium Force is 310 ft tall. The ascent to the top of the hill is at 45� angle. What is the length of the ascent to the nearest tenth of a foot?
2)The Millennium Force was the first coaster in with an elevator left system was used to pull the trains to the top of the first hill. The system pulls the trains at a speed of 20 ft/s. How long does it take a train to reach the top of the hill?
Click here to see answer by Boreal(15235)

Question 1112462: the perimeter of the circuit board in the illustration is 94 centimeters find the dimensions of the board (w+5) cm
Click here to see answer by ikleyn(52778)

Question 1112463: A tile manufacturer wants to make a tile in the shape of a rhombus where one diagonal is twice the length of the other diagonal. What should the lengths of the diagonals be in order to make a tile with sides 7 cm long? Round to the nearest hundredth.
Click here to see answer by Edwin McCravy(20054)

Question 1112455: The length of the first decent CD is 314.8 ft. To the nearest foot, what is the total
horizontal distance AD that the train covers as it goes over the first hill?
Click here to see answer by ikleyn(52778)

Question 1112461: A tile manufacturer wants to make parallelogram-shaped tiles with the dimensions 4 in. by 6 in. What is the maximum number of such tiles that can be cut from a 12 in. by 40 in. slab of clay?
Click here to see answer by ikleyn(52778)

Question 1112459: Engineers designed the support beam XY so that X is the midpoint of the ascent AB and Y
is the midpoint of the descent CD. What is the length of the beam to the nearest foot?
Click here to see answer by ikleyn(52778)

Question 1112496: I�m triangle ABC, BC=13, CA=14, and AB=15. If D is a point on line CA such that line BD is perpendicular to line CA, how long is BD?
Click here to see answer by ikleyn(52778)

Question 1112517: A cylinder has a volume of 1027 cubic centimeters. What is the volume of a cone with the same base and height as the cylinder?
Click here to see answer by Alan3354(69443)

Question 1112600: One solar panel is 3.2 feet wider than the other. Find the width of each panel when a = 18. (Assume there is no gap between the panels.)
_________ft smaller value
_________ft larger value
Click here to see answer by ikleyn(52778)

Question 1112647: The minute hand on Big Ben reaches 7 meter. From the center of the clock. What distance does the minute hand travel in one hour? What area would a window washer clean on the circular clock face?
Click here to see answer by ikleyn(52778)

Question 1112649: Mr. Ammon is building a circular corral for training colts. He has 73.79 meter fencing. What is the diameter of the corral? What is the total area of the corral? If he leads a colt by holding a rope at the center of the ring, while the colt runs along the perimeter, what is the length of rope he would use?
Click here to see answer by josmiceli(19441)

Question 1112706: he area of a rectangular wall of a barn is
280 square feet. Its length is
8 feet longer than twice its width. Find the length and width of the wall of the barn
Click here to see answer by josgarithmetic(39617)

Question 1112707: Cynthia Besch wants to buy a rug for a room that is
8 ft wide and
19 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy
102 square feet of carpeting. What dimensions should the rug have?
Click here to see answer by josgarithmetic(39617)

Question 1112648: A circular vacuum hose nozzle has an opening with an area of 854.87mm^2. What is the diameter and the circumference of the nozzle rounded to the nearest hundredth?
Click here to see answer by Alan3354(69443)

Question 1112790: To repair a roof that is 15 feet high, Mr. Bowen leans a 17-foot ladder against the side of the building. To reach the roof, how far away from the building should he place the base of the ladder?

Click here to see answer by ikleyn(52778)

Question 1112670: a parabolic trough 10 meters long 4 meters wide cross the top and 3 meters deep is filled with water at depth of 2 meters. Find the volume of the water in the through
Click here to see answer by Alan3354(69443)

Question 1112853: A quadrilateral circumscribing a circle has 3 sides; 5 inches, 4 inches and 5.74 inches. Find the fourth side if the radius of the circle is 2.5 inches. Find also the area of the quadrilateral. Please explain.
Click here to see answer by rothauserc(4718)

Question 1112882: what is the area of the regular 20-gon with radius 9 mm?
Click here to see answer by Alan3354(69443)

Question 1112912: Mr. Drew wants to build a square sandbox for his children. The area of the sandbox will be 41 ft^2. To the nearest tenth, what is the total length of wood Mr. Drew needs to make the sides of the sandbox? He needs to buy _____ ft of wood. Round to the nearest tenth as needed.

Click here to see answer by josgarithmetic(39617)

Question 1112860: On a scale drawing of a museum, 1 centimeter equals 7 1/2 meters. The width of the museum is 90 meters.
What is the width of the museum on the scale drawing?

Click here to see answer by josgarithmetic(39617)

Question 1113072: a statical which may have seen hanging in the Endless caverns in Virginis is approximately in the form of a cone 4 ft. long with a base 18 in. in cubic ft. Find the weight of tha stalactite?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1113154: What is the area of a section bounded by a closed elliptical whose major and minor segments measure 60 cm and 45 cm respectively? Please explain.
Click here to see answer by ikleyn(52778)

Question 1113179: Cynthia Besch wants to buy a rug for a room that is 23 ft wide and 30 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 408
square feet of carpeting. What dimensions should the rug have?
Click here to see answer by josmiceli(19441)

Question 1113151: In a circle with a diameter of 12 inches, a regular five-pointed star is inscribed. What is the area of that part not covered by the star? Please explain.
Click here to see answer by KMST(5328)

Question 1113155: Determine the area of the circle circumscribing a regular 6-pointed star if the inner regular hexagon has 25 cm on a side. Please explain.
Click here to see answer by greenestamps(13198)

Question 1113253: Michael and Jackson are standing on opposite corners of a ball field that is 60 yards long and 30 yards wide. Michael walks on the edge of the field for one length and one width. Jackson walks across the diagonal of the field. How many more yards did Michael walk than Jackson?
a
around 157 yards more
b
around 23 yards more
c
90 yards more
d
Michael didn�t walk farther, Jackson did

Click here to see answer by Boreal(15235)

Question 1113353: A square parking lot has an area of 810 yards^2 Makita work Security in the parking lot and she walks around the boundary. How far does she walk?
Click here to see answer by math_helper(2461)

Question 1113415: The scale drawing of Martin�s bedroom is 1/2 inch long by 2 1/4 inches wide.The scale used to create the drawing was 1/2 inch = 4 feet.What is the actual width of the bedroom?
Click here to see answer by amalm06(224)

Question 1113427: please help me to solve this quesion.
A cone whose base diameter and vertical height are 24cm and 5cm respectively is unfolded to form a sector of a circle. calculate:
(1) The radius of the sector
(2)The angle of the sector
Click here to see answer by ikleyn(52778)

Question 1113460: Write the point-slope equation of the line that passes through (3, -1) and a slope of 2.
y - ? = (x - ? )
Click here to see answer by Alan3354(69443)

Question 1113460: Write the point-slope equation of the line that passes through (3, -1) and a slope of 2.
y - ? = (x - ? )
Click here to see answer by math_helper(2461)

Question 1113527: Bedsheet measuring 150cm by 110cm is spread on a bed if 5 cm of a bedsheet is hanging around the bed find the area of the top of the bed math problem
Click here to see answer by josgarithmetic(39617)

Question 1113528: David is making a triangular plaque for his dad. He cuts a triangular piece of wood from a rectangular board of wood. The triangle has a base of 15 inches and a height of 9 inches. The rectangular board has a length of 20 inches and a width of 12 inches. He wants to figure out the area of the piece of wood that is left.
Part A: Calculate the areas of the triangle plaque and the original rectangular board and explain how you found the answer.

Click here to see answer by ikleyn(52778)

Question 1113678: If the 2 interior angles of a triangle measure 102 degrees and 28 degrees,what is the measure of the third angle?
Click here to see answer by math_helper(2461)

Question 1113755: Can a parallelogram always be inscribed in a sircle ? What about square,rhombus, kite and why . I also need reasons.

Click here to see answer by Edwin McCravy(20054)

Question 1113755: Can a parallelogram always be inscribed in a sircle ? What about square,rhombus, kite and why . I also need reasons.

Click here to see answer by KMST(5328)

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