Question

Find the ratio of perimeters of square whose ratio of area is 25:36

Answer 1

let the sides be 25x and 36x
thus, 25x + 36x = perimeter
         61x = perimeter
perimeter = s*s

Answer 2

Hello,
we have that:
A₁/A₂=25/36
so, the sides of the squares are, respectively:
l₁=√A₁=√25=5 cm
l₂=√A₂=√36=6 cm
then, the perimeter of the squares are:
P₁=l₁×4=5×4=20 cm
P₂=l₂×4=6×4=24 cm
the ratio of the perimeter is:
P₁/P₂=20/24=5/6;
P₁/P₂=5:6

bye :-)