164k views
0 votes
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?

User AlexITC
by
5.6k points

1 Answer

1 vote

Answer:

581 m²

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:


A = H*((T+B))/(2)\\A = 14*((46+37))/(2)\\A= 581 m^2

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.

User Sidharth Mudgil
by
6.2k points