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?
To calculate the total number of square yards of rubber needed for the park, we first need to find the area of the trapezoid.
The area of a trapezoid is given by the formula:
Area = (1/2) * (base1 + base2) * height
In this case, the trapezoid has bases of 50 yards and 70 yards, and a height of 40 yards.
Area = (1/2) * (50 + 70) * 40
Area = (1/2) * 120 * 40
Area = 2400 square yards
Therefore, the park will require 2400 square yards of rubber to cover the ground.