Question

What will be the area of the figure illustrated below?

• A. $44$ sq ft
• B. $49$ sq ft
• C. $45$ sq ft
• D. $25$ sq ft

Answer 1

The correct option is C $45$ sq ft

Dimension of the square $=5+1+1=7$ ft
Area of the square =
$7\times 7=49$ sq ft
Area of small squares $=1\times 1=1$ sq ft
Area of $4$ small squares $=4\times 1$ sq ft $=4$ sq ft
Area of the given figure $=$ Area of the square $-$ Area of $4$ smaller squares
Area of the given figure $=(7\times 7)-(4\times (1\times 1\left)\right)=49-4=45$ sq ft