Question

The side length of a square tile is
$\frac{2}{3}$ feet. Find the total area of a floor covered by such tiles using the given figure.

• A. 8 sq ft
  
• B. 9 sq ft
  
• C. 6 sq ft
  
• D. 2 sq ft
  

Answer 1

The correct option is A 8 sq ft


Length of the rectangular floor = side length of each tile $\times$
number of tiles placed along the length
$=\frac{2}{3}\times 6$
$=\frac{2}{3}+\frac{2}{3}+\frac{2}{3}+\frac{2}{3}+\frac{2}{3}+\frac{2}{3}=\frac{12}{3}$
=4 ft
Width of the rectangular floor = side length of each tile $\times$ number of tiles placed along the width
$=\frac{2}{3}\times 3$
$=\frac{2}{3}+\frac{2}{3}+\frac{2}{3}$
$=\frac{6}{3}$
=2 ft
Area of the floor = length $\times$ width
$=4\times 2$
= 8 sq ft