Question

A key holder is in the following shape. Find the area of the composite figure.

• A. 120 sq ft
• B. 140 sq ft
• C. 180 sq ft
• D. 200 sq ft

Answer 1

The correct option is B 140 sq ft

The given figure is


It consists of a rectangle of dimensions 10ft and 12 ft and a triangle of dimensions 10 ft and 4 ft.

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

Base of the triangle = 10 ft

Height of the triangle = 4 ft

Area = $\frac{1}{2}$$\times$ 10 $\times$ 4 = 20 sq ft

Area of rectangle = base $\times$ width

base of rectangle = 12 ft

width of rectangle = 10 ft

Area = 12 $\times$ 10 = 120 sq ft

Hence, area of the composite figure = 120 + 20 = 140 sq ft