Question

A new park is being built in the shape of a trapezoid, as show in the diagram below. The builders will cover the ground with a solid rubber surface to ensure the children playing have a safe and soft place to land when they jump or fall. How many square yards of rubber will be needed for this park?

Answers

GPT 3.5
To find the total area of the trapezoid park, we need to first find the base lengths and height of the trapezoid.

Given:
Top base: 20 feet
Bottom base: 30 feet
Height: 15 feet

First, calculate the average of the top and bottom bases:
Average base length = (20 + 30) / 2 = 50 / 2 = 25 feet

Next, calculate the area of the trapezoid using the formula:
Area = 1/2 x (top base + bottom base) x height
Area = 1/2 x (20 + 30) x 15
Area = 1/2 x 50 x 15
Area = 750 square feet

Now, convert the area to square yards:
1 square yard = 9 square feet
750 square feet / 9 = 83.33 square yards

Therefore, 83.33 square yards of rubber will be needed for the park.