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.

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.