Question

Match the following composite figures with their corresponding areas.

• A. 28 sq ft
• B. 39 sq ft
• C. 34 sq ft

Answer 1

The first composite figure is

It consists of one rectangle of dimensions 5 ft and 6 ft and one square of side 3 ft.

Area of rectangle = base $\times$ width

= 5 $\times$ 6

= 30 sq ft

Area of square = side $\times$ side

= 3 $\times$ 3

= 9 sq ft

Area of composite figure = 30 + 9 = 39 sq ft


The next composite figure is


It contains two triangles and one rectangle.

Area of rectangle = base $\times$ width

Base of the rectangle =5 ft

Height of the rectangle = 4ft

Area = 5 $\times$ 4 = 20 sq ft

Area of triangle1 = $\frac{1}{2}$ $\times$ base $\times$ height


Base of triangle = 2ft

Height of triangle = 4ft

Area = $\frac{1}{2}$ $\times$ base $\times$ height

= $\frac{1}{2}$ $\times$ 2 $\times$ 4

= 4 sq ft

Area of triangle2 = base $\times$ height

Base of triangle = 5ft

Height of triangle = 4ft

Area = $\frac{1}{2}$ $\times$ 5 $\times$ 4

= 10 sq ft

Area of the composite figure =20+4+10 = 34 sq ft

The next composite figure is

It consists of two identical triangle of height 3 ft and base 4ft and one square of side 4 ft

Area of triangle1 = $\frac{1}{2}$$\times$3$\times$4 = 6 sq ft

Area of triangle2 = 6 sq ft

Area of square = side $\times$side = 4 $\times$4

= 16 sq ft

Area of the composite figure= 6 + 16 + 6 = 28 sq ft