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?

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:

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.

a 10 percent increase

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2