Final answer:
To cover a trapezoidal athletic field with bases of 38 m and 50 m, and a height of 17 m, you would need 748 square meters of artificial turf.
Step-by-step explanation:
To calculate the amount of artificial turf needed to cover a trapezoidal athletic field, you must find the area of the trapezoid. The formula for the area (A) of a trapezoid is A = ½ × (b + t) × h, where b is the length of the bottom base, t is the length of the top base, and h is the height.
In this case, the bottom base (b) measures 38 m, the top base (t) measures 50 m, and the height (h) is 17 m. So, plug these values into the formula to calculate the area.
A = ½ × (38 m + 50 m) × 17 m = ½ × 88 m × 17 m = 44 m × 17 m = 748 m²
Therefore, to cover the athletic field, you would need to purchase 748 square meters of artificial turf.