Question

The perimeter of a square is 56 cm. What is the Area of the square in square centimeters?

Answer 1

`{ \tt{let \: one \: side \: be \: s}} \\ { \bf{perimeter = 4s}} \\ 56 = 4s \\ s = (56)/(4) \\ { \tt{s = 14 \: cm}} \\ \\ { \bf{area = {s}^(2) }} \\ = {14}^(2) \\ { \boxed{ \tt{area = 196 \: {cm}^(2) }}}`

Answer 2

A =196 cm^2

Explanation:

The perimeter of a square is

P = 4s where s is the side length

56 = 4s

Divide by 4

56/4 = 4s/4

14 =s

The area is given by

A =s^2

A =14^2

A =196 cm^2