Question

If a $6\times 3$ rectangle contains $2$ small squares of equal area and a $9\times 3$ rectangle contains $3$ small squares of equal area, then determine the area of each small squares contained in the given rectangles.

• A. $9$ sq. units
• B. $3$ sq. units
• C. $6$ sq. units
• D. $5$ sq. units

Answer 1

Answer: (A)

$9$ sq. units

Area of rectangle = $6\times 3=18$ sq units.

Rectangle consists of $2$ small squares of equal area.

$\therefore$ Area of 1 square = $\frac{18}{2}=9c{m}^2$.

Area of another rectangle = $9\times 3=27$ sq units.

This rectangle consists of $3$ small squares of equal area.

$\therefore$ Area of 1 square =$\frac{27}{3}=9c{m}^2$