Question

the area of a square plot is 150m^2. Find the estimated length of the side of the plot.

Answer 1

If 'S' is the length of side of a square then area of the square is S².

Given the area of the square plot is 150 m²

• Area = S²

To determine the side of the square, we need to take square root of the area of the square.

$\boxed{\sf \large\bf{\red{ \implies}} \: \rm \:S \: = \: \sqrt{Area} }$

On substituting, the area in the above formula, we get

$\boxed{\sf \large\bf{\red{ \implies}} \: \rm \:S \: = \: \sqrt{150} }$

$\boxed{\sf \large\bf{\red{ \implies}} \: \rm \:S \: = \: \sqrt{12.25 \: \times \:12.25 } }$

$\boxed{\sf \large\bf{\red{ \implies}} \: \rm \:S \: = \: 12.25 \: }$

The estimated length of the side of the plot is 12.25 cm