Question

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

• A. 80 sq ft
• B. 95 sq ft
• C. 100 sq ft
• D. 90 sq ft

Answer 1

The correct option is B 95 sq ft

Given figure is

It consists of one square and two trapezia.

Area of square = side $\times$ side

Length of the side = 5ft

Area = 5 $\times$ 5 = 25 sq ft

Area of trapezium = $\frac{1}{2}$$\times$ (sum of parallel sides) x height

Length of base (14 ft -5 ft) = 9 ft

Length of another side = 5 ft

Area = $\frac{1}{2}$$\times$ (9+5) x 5 = 35 sq ft

Area of another trapezium = 35 sq ft (both trapezia have the same dimensions)

Hence, area of the composite figure = 25 +35 + 35 = 95 sq ft