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

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 an class=

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ANSWER:

500.5 m²

STEP-BY-STEP 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:

[tex]A=\frac{1}{2}(b+B)\cdot h[/tex]

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

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

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

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