Question

the perimeter of two squares are 60 meters and 144 meters respectively. find the perimeter of another square equal in area to the sum of the first two squares.

Answer 1

For the first square:
Perimeter=4×side
or, 4×side=60m
or, side=60/4=15m
So, area = (side)^2=225m
For the second square:
Perimeter=4×side
or, side=perimeter/4=144/4=36m
So, area=(36)^2=1296m
Area of the square whose are is equal to the area of the two given square=1296+225=1521m
Its side = √1521=39m
So perimeter = 4×39=156m