Question

Suresh visited his plot which is square in size. Shaded part is the garden area in the plot. What is the ratio of area of plot used for garden to the total area of the plot?

• A. $0.66$
• B. $0.25$
• C. $0.75$
• D. $0.50$

Answer 1

The correct option is B $0.25$

The given square plot is divided into $4$ equal parts ($4$ squares), of which $1$ part is the garden. Hence, the ratio of areas is $\frac{1}{4}=0.25$.

The same is proved below mathematically.

Given:
Side of square plot, $a=1unit$
Side of garden area, $b=\frac{1}{2}unit$

The area of garden portion:
$A_g=b^2$
$A_g={\left(\frac{1}{2}\right)}^{2}unit{s}^2$
$A_g=\frac{1}{4}unit{s}^2$

The area of square plot is:
$A_p=a^2$
$A_p=1^{2}unit{s}^2$
$A_p=1unit{s}^2$

Ratio of area of garden to the area of plot is:
$n=\frac{A_g}{A_p}$
$n=\frac{1/4}{1}=\frac{1}{4}$
$\therefore n=\frac{25}{100}=0.25$