Area of the figure is 102 cm²
Explanation:
- Step 1: Find the area of the square with side = 6 cm.
Area of the square = (side)² = 6² = 36 cm²
- Step 2: Find the area of the trapezoid.
Length of parallel side 1 = 7 cm
Length of parallel side 2 = 21 - 6 = 15 cm
Height = 6 cm
⇒ Area of the trapezoid = 1/2 × (Sum of parallel sides) × height
= 1/2 × (7 + 15) × 6
= 1/2 × 22 × 6 = 66 cm²
- Step 3: Find the area of the figure.
Area of the figure = Area of the square + Area of the trapezoid
= 36 + 66 = 102 cm²