Question

How much artificial turf should be purchased to cover an athletic field that is in the shape of a trapezoid with the height of 13m and base that measures 43m and 34m

Answer 1

500.5 m²

Explanation:

To know how much artificial grass should be purchased to cover the athletic field, we must calculate the area corresponding to the figure.

The area of a trapezoid has the following formula:

`A=(1)/(2)(b+B)\cdot h`

Where b is the small base, B is the large base and h is the height, we substitute and calculate the area, like this:

`\begin{gathered} A=(1)/(2)(34+43)\cdot13 \\ \\ A=(1)/(2)\cdot77\cdot13 \\ \\ A=500.5\text{ m}^2 \end{gathered}`

It is necessary to purchase the amount of 500.5 m² to be able to cover the athletic field