Question

If the perimeter of the square at the right is 72 units, what are the values of x and y?

Answer 1

The answer is: x = 9, y = 6

A perimeter of a square with side a is:
P = 4a

Since sides of the square of the same, according to the image we have:
a = 3y
a = 2x
____

P = 72
p = 4a

4a = 72
a = 72 / 4 = 18
_____

a = 3y
a = 18

3y = 18
y = 18 / 3 = 6
_____

a = 2x
a = 18

2x = 18
x = 18 / 2 = 9