Answer:
180 units²
Step-by-step explanation:
Let's find the length of the dashed line (which is the length of the trapezoid). Use the Pythagorean Theorem:
7² + h² = 25², or h² = 625 - 49 = 576. Thus, h = √576 = 24.
The average width of the trapezoid is:
(7+4) + 4
w = ---------------- = 15/2
2
The area of a trapezoid is (average width of trapezoid)(length of trapezoid), and here that comes to:
15
A = -------- * 24 = 180 units²
2
