Question

Find the lenght of a side of a square,whose area is equal to the area of aa rectangle with sides 240m and 60m

Answer 1

Answer:

Area of rectangle= length ×breadth

240× 60 sq m

let, each side of square be " a " m

then area of square =a²

According to given condition

a²=240×60

a²= 60×4 ×60

a=✓ 60×60×2×2

a= 60×2 (. as length of square cannot be negative -ve)

a= 120

ANS)))therefore each side of square is 120m

Answer 2

Let the length of side of square = a

$\bold{Now \: area \: of \: square = {a}^{2}}$

Area of rectangle=240×60

$\bold{ = 14400 \: {m}^{2} }$

According to question

$\bold{ {a}^{2} = 14400}$

$\bold{ {a} = 120}$