Question
A picnic table is being created that is shaped like an isosceles trapezoid, as shown. The top of the table is going to be covered with tiles. Each tile covers 1/2 square feet. How many tiles will be needed to cover the top of the table?
Answers
GPT 3.5
To find the total area of the trapezoid table top, we first need to calculate the area of the trapezoid.
The formula for the area of a trapezoid is A = 1/2 * (b1 + b2) * h, where b1 and b2 are the lengths of the parallel sides and h is the height.
In this case, let's say the lengths of the parallel sides (b1 and b2) are 6 feet and 4 feet respectively, and the height (h) is 3 feet.
Therefore, the area of the trapezoid is A = 1/2 * (6 + 4) * 3 = 1/2 * 10 * 3 = 15 square feet.
Since each tile covers 1/2 square feet, we need to divide the total area of the table top by the area of each tile to find out how many tiles are needed.
15 square feet / 1/2 square feet = 30 tiles
Therefore, 30 tiles will be needed to cover the top of the table.
The formula for the area of a trapezoid is A = 1/2 * (b1 + b2) * h, where b1 and b2 are the lengths of the parallel sides and h is the height.
In this case, let's say the lengths of the parallel sides (b1 and b2) are 6 feet and 4 feet respectively, and the height (h) is 3 feet.
Therefore, the area of the trapezoid is A = 1/2 * (6 + 4) * 3 = 1/2 * 10 * 3 = 15 square feet.
Since each tile covers 1/2 square feet, we need to divide the total area of the table top by the area of each tile to find out how many tiles are needed.
15 square feet / 1/2 square feet = 30 tiles
Therefore, 30 tiles will be needed to cover the top of the table.