Answer:
968 square miles
Explanation:
Extending the horizontal line segments across the figure divides it into 3 rectangles:
top: 5 mi × 25 mi
middle: 17 mi × 43 mi
bottom: 14 mi × 8 mi
The total area is the sum of products of length and width:
A = (5×25 +17×43 +14×8) mi² = (125 +731 +112) mi² = 968 mi²
shaded area = 538 mi²
area of bottom rectangle = 14 * 8 = 112 mi²
area of middle rectangle = 7 * ( 5 + 8 + 30) = 301 mi²
area of the upper rectangle = 5 * 25 = 125 mi²
Total shaded area = 125 mi² + 301 mi² + 112 mi²
= 538 mi²
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