Answer:
the height of the trapezoid is 25 yards.
Explanation:
The area of a trapezoid is given by the formula:
Area = (1/2) * (b1 + b2) * h
where b1 and b2 are the lengths of the parallel bases and h is the height of the trapezoid.
In this problem, we are given the area of the trapezoid (600 yd^2), as well as the lengths of the two parallel bases (25 yd and 23 yd). Let's use this information to find the height of the trapezoid.
We can start by rearranging the formula for the area to solve for the height:
h = (2 * Area) / (b1 + b2)
Substituting the given values, we get:
h = (2 * 600 yd^2) / (25 yd + 23 yd)
Simplifying, we get:
h = 1200 yd^2 / 48 yd
h = 25 yd
Therefore, the height of the trapezoid is 25 yards.