How much artificial turf should be purchased to cover an athletic field that is in the shape of a trapezoid with a height of H = 14 m and bases that measure T = 46 m and B = 37 m?

Answer :

Answer:

581 m²

Step-by-step explanation:

The area of a trapezoid is determine as the average between the length of both bases T and B (46 and 37 m) multiplied by the height H. The area is:

[tex]A = H*\frac{(T+B)}{2}\\A = 14*\frac{(46+37)}{2}\\A= 581 m^2[/tex]

Assuming that enough turf must be bought to cover the whole extension of the field, the amount of turf that should be purchased is 581 m².

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