Question

The side of a square field is $16m.$ What will be the increase in its area, if:
ii. each of its sides is doubled.

Answer 1

Given,
Length of each side of the square field $=16m$
The area of the square field is given by:
$\text{Area}=(\text{Side}{)}^2$
$\Rightarrow \text{Area}=16\times 16=256m^2$

According to the question,
New length of the side $=2\times 16=32m$
Therefore,
The area of the new square field:
$\text{Area}=(\text{side}{)}^2$
$\Rightarrow \text{Area}=32\times 32=1024m^2$

Increase in the area
$=$ New Area - Original Area
$=1024-256$
$=768m^2$
Therefore, the increase in the area of the square field is $768m^2.$