Answer:
area = 82 cm²
Step-by-step explanation:
The figure comprises a trapezoid, a triangle and a square.
Calculating areas of the three shapes separately and then adding them will give us the required area of the composite figure.
Area of square : (side)²
= (2)²
= 4 cm²
Area of triangle : ½ × b × h
= ½ × 3 × 12
= 3 × 6
= 18 cm²
Area of trapezoid : ½ × (a + b) × h
= ½ × (5+5) × 12
= ½ × 10 × 12
= 5 × 12
= 60 cm²
Now, area of the composite figure :
= 4 + 18 + 60
= 22 + 60
= 82 cm²
