Question

Calculate the area of the grey-colored portion for the following figure.

• A. 168 sq ft
• B. 156 sq ft
• C. 172 sq ft
• D. 148 sq ft

Answer 1

The correct option is A 168 sq ft


For the rectangle ABCD,
Length = 24 ft
Width = 10 ft

So, area of a rectangle = length × width
= 24 ft × 10 ft
= 240 sq ft.

The depth of the grey portion = 3 ft
So, the length of the green portion:
= 24 - 3 - 3 ft
= 24 - 6 ft
= 18 ft

Breadth of the green portion:
= 10 - 3 - 3 ft
= 10 - 6 ft
= 4 ft

So, the area of the green portion
= length × width
= 18 ft × 4 ft
= 72 sq ft.

Therefore, the area of the green portion
= Area of the square ABCD - Area of the green portion
= 240 sq ft. - 72 sq ft.
= 168 sq ft.