Answer:
1. 92 m²
2. 184 cm²
Explanation:
1.
Look at the left triangle.
Imagine that the 8 m segment continues to the bottom, and you have a horizontal leg there.
The hypotenuse measures 15 m.
The vertical leg is 8 m + 4 m = 12 m.
a² + b² = c²
12² + b² = 225
b = 9
The horizontal leg is 12 m.
A = 2 × 12 m × 9 m / 2 - 4 m × 4 m
A = 92 m²
2.
Bottom rectangle: length = 20 cm; width = 7 cm
Upper trapezoid: bottom base = 20 cm - 13 cm = 7 cm; height = 15 cm - 7 cm = 8 cm; upper base = 4 cm
A = 20 cm × 7 cm + (1/2)(7 cm + 4 cm)(8 cm)
A = 184 cm²