Tutors Answer Your Questions about Geometry Word Problems (FREE)
Question 1147551: A magazine prints its photos in two square sizes. The larger photos measure 3.0 cm longer than the smaller ones. Three of the smaller photos have a combined area of 9cm^2 more than the area of one of the larger sizes. Find the dimensions of each size photograph..
Click here to see answer by ikleyn(52781)   |
Question 1147588: A kite is flying on 20 feet of string. It’s horizontal distance from the person flying it is 4 feet less than its vertical distance from the ground. Find its horizontal distance from the person and its vertical distance from the ground.
Click here to see answer by greenestamps(13200)  |
Question 1147587: A rectangular piece of cardboard is 5 inches longer than it is wide. Three-inch squares are cut out of each corner and the resulting flaps are turned up and taped to form an open box. If the volume of the resulting box is 18 cubic inches, what were the original dimensions of the piece of cardboard?
Click here to see answer by greenestamps(13200) |
Question 1148039: At a local pizza shop, the price for a medium cheese pizza is $6.50, and the price for a large pizza is $14.00. The diameters of the large and medium pizzas are 18 inches and 12 inches respectively. Both pizzas are the same thickness. Using your knowledge of geometry and number sense,
a) Calculate the cost of each pizza per square inch.
b) Determine which size is a better buy.
Thoroughly explain how you arrived at your answer.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1148250: The length of a rectangle is 3 in. more than its width. Ther perimeter of the rectangle is 30 in.
a) Define a variable for the width:
b) Write an expression for the length, in terms of width:
c) Write an equation to find the width of the rectangle:
d) What is the width of the rectangle?
e) What is the length of the rectangle?
Click here to see answer by Boreal(15235)  |
Question 1148362: In the diagram to the bottom, circle with center O has a radius of 8cm. Segment AT is tangent to the circle. Angle AOT=60 degrees, and AX=XY (this length is labeled m). Find the length of m.
Diagram: https://imgur.com/a/5jS4WF7
Click here to see answer by ikleyn(52781) |
Question 1148928: Quilt Dimensions.
Michelle is making a quilt for a wall hanging at the entrance
of a state museum. The finished quilt will measure 8 ft by 6
ft. The quilt has a border of uniform width around it. The
area of the interior rectangular section is one half the area of the entire quilt. How wide is the border?
Click here to see answer by josgarithmetic(39617) |
Question 1148928: Quilt Dimensions.
Michelle is making a quilt for a wall hanging at the entrance
of a state museum. The finished quilt will measure 8 ft by 6
ft. The quilt has a border of uniform width around it. The
area of the interior rectangular section is one half the area of the entire quilt. How wide is the border?
Click here to see answer by ikleyn(52781) |
Question 1148993: A portion of a track for a roller coaster is supported by two beams of different heights. The 40 foot and 30 foot beams are perpendicular to the ground. Steel cables are attached from the top of one beam to the bottom of the other. How far off the ground do the cables intersect?
Click here to see answer by greenestamps(13200) |
Question 1149167: a goat is tied outside a triangular fenced garden at point A. the sides of the fence are AB=8m, BC=9m, and CA=12m. if the rope with which the goat is tied is 14m long, find the area over which the goat can graze outside the fence.
Click here to see answer by Alan3354(69443)  |
Question 1149397: A large cylindrical container with a height of 32 cm and a radius of 8 cm has water in it to a depth of 26 cm. A smaller cylindrical container with no water in it has a height of 28 cm and a radius of 5 cm. The smaller container is lowered into the larger. As it is lowered, water rises in the larger and then spills out onto the ground until the top of the smaller container is level with the top of the larger. As the smaller container is lowered further, water from the larger spills into the smaller. When the smaller container is lowered all the way, it is then removed. What is the difference, in cm, in the height of the water left in the larger container and the height of the water that spilled into the smaller?
Click here to see answer by greenestamps(13200) |
Question 1149397: A large cylindrical container with a height of 32 cm and a radius of 8 cm has water in it to a depth of 26 cm. A smaller cylindrical container with no water in it has a height of 28 cm and a radius of 5 cm. The smaller container is lowered into the larger. As it is lowered, water rises in the larger and then spills out onto the ground until the top of the smaller container is level with the top of the larger. As the smaller container is lowered further, water from the larger spills into the smaller. When the smaller container is lowered all the way, it is then removed. What is the difference, in cm, in the height of the water left in the larger container and the height of the water that spilled into the smaller?
Click here to see answer by ikleyn(52781) |
Question 1149545: Alec has written an award winning short story. His mother wants to frame it with a uniform border. She wants the finished product to have an area of 315 in^2. The writing portion occupies an area that is 11 inches wide and 17 inches long. How wide is the border?
Click here to see answer by greenestamps(13200) |
Question 1149545: Alec has written an award winning short story. His mother wants to frame it with a uniform border. She wants the finished product to have an area of 315 in^2. The writing portion occupies an area that is 11 inches wide and 17 inches long. How wide is the border?
Click here to see answer by ikleyn(52781) |
Question 1149690: Three congruent circles of radius 6 cm intersect as shown, so that the center of each circle is a point of intersection for the other two circles. What is the area of the shaded region? Express your answer as a decimal to the nearest tenth.
(The diagram is kind of like the math olympiad logo, with three circles intersecting.)
Click here to see answer by ikleyn(52781) |
Question 1149873: A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is
16
16 feet more than the length of the shortest side. Find the dimensions if the perimeter is
172
172 feet.
Click here to see answer by ikleyn(52781) |
Question 1149873: A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is
16
16 feet more than the length of the shortest side. Find the dimensions if the perimeter is
172
172 feet.
Click here to see answer by MathLover1(20849)  |
Question 1150054: The distance between two cities is 180 km. The distance was covered by a car at a rate of 50 km/h, by a bus at 45 km/h, by a truck at 40 km/h, and by a bicycle at 25 km/h. How long did each take to travel the entire distance? Are speed and time directly proportional or inversely proportional? What is the constant of variation
Click here to see answer by Alan3354(69443) |
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