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Margaret [11]
3 years ago
10

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

Mathematics
2 answers:
Semenov [28]3 years ago
4 0

Answer:

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

ira [324]3 years ago
3 0

Answer:

A =196 cm^2

Step-by-step 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

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