Question

Calculate the area of the shaded portion of the given figure made of square tiles.

• A. $\frac{2}{3}$ sq ft
  
• B. $\frac{3}{1}$ sq ft
• C. $\frac{1}{3}$ sq ft
• D. $\frac{4}{3}$ sq ft

Answer 1

The correct option is A $\frac{2}{3}$ sq ft



Length of the shaded portion = side length of one block of the shaded portion × number of shaded blocks placed along the length
$=\frac{1}{3}\times 3=1$ ft
Width of the shaded portion = width of one block of the shaded portion × number of shaded blocks placed along the width
$=\frac{1}{3}\times 2=\frac{2}{3}$ ft
Area of the shaded portion = length of the shaded portion × width of the shaded portion
$=1\times \frac{2}{3}=\frac{2}{3}$ sq ft