Question

A square plot of land has an area of $225$ square units. Find the perimeter of the land.

• A. $15$ units
• B. $30$ units
• C. $45$ units
• D. $60$ units

Answer 1

The correct option is D $60$ units

$\underset{–}{\text{Given:}}$
Area of the square land $=225$ square units.

$\underset{–}{\text{Need to Find:}}$
Perimeter of the plot

Area of a square is equal to the square of its sides.
Let the side length of the square $=a$

$\therefore$ Area of square land $=a^2$

$\Rightarrow 225\text{square units}=a^2$

$\Rightarrow a^2=225\text{square units}$

Taking the square root on both the sides of the equation, we get

$\Rightarrow (a^2{)}^{\frac{1}{2}}=(225\text{square units}{)}^{\frac{1}{2}}$

$\Rightarrow a=((15\text{units}{)}^2{)}^{\frac{1}{2}}$ $[\because 225={15}^2]$

$\Rightarrow a=15$ units

Now, we need to find the perimeter of the square land.

Perimeter of square $=4\times$ Side length [From the given hint]

$=4\times a$
$=4\times 15$ units
$=60$ units

As a result, perimeter of the square land would be $60$ units.

Therefore, option (d.) is the correct answer.