Question

the length of a side square playground whose area is equal to the area of a rectangale field of dimensions 144m and 676m​

Answer 1

Answer:

Question :-

Find the length of a side square playground whose area is equal to the area of a rectangale field of dimensions 144m and 676m.

Answer :-

• The side of square playground is 312 m.

Given :-

• Length of rectangle = 676 m
• Breadth of rectangle = 144 m
• Area of square = Area of rectangle

To find :-

• Length of square playground

Solution :-

$\boxed{ \large{ area \: of \: rectangle \: = length \times breadth}}$

$\implies \: area \: = 676 \times 144 \\ \\ \implies \: area \: =97344 \: {m}^{2}$

$\boxed{ \large{area \: of \: square \: = {side}^{2} }}$

$\implies \: \: {side}^{2} \: = 97344 \\ \\ \implies \: \:side \: = \sqrt{97344} \\ \\ \implies \: \:side \: = 312 \: m$

Hence,

The side of square playground is 312 m.

Verification :-

$\implies \: side \: \times side = \: area \: \\ \\ \implies \:312 \times 312 = 97344 \\ \\ \implies \: \: \:97344 = 97344$

Hence Verified!!