Question

Which of the following gives the area of the given composite figure?

• A. 48 sq ft
• B. 42 sq ft
• C. 52 sq ft
• D. 64 sq ft

Answer 1

The correct option is A 48 sq ft

The given composite figure is


It contains one rectangle of dimensions 4 ft and 8 ft and a square of side 4 ft.

Area of composite figure = Area of rectangle + Area of square

Area of rectangle = base $\times$ width

Base of the rectangle = 4 ft

Height of the rectangle = 8 ft

Area of rectangle = 4 $\times$ 8 = 32 sq ft

Area of the square = side $\times$side

= 4 $\times$ 4

= 16 sq ft

Hence, area of the composite figure = 32 + 16 = 48 sq ft.