Question

A square has a perimeter of 51 inches. What is the area of the square?

Answer 1

Answer:

The area of the square is $162.5625\ in^2$

Step-by-step explanation:

step 1

Find the length side of the square

we know that

The perimeter of a square is

$P=4b$

where

b is the length side of the square

we have

$P=51\ in$

substitute and solve for b

$51=4b$

$b=51/4$

$b=12.75\ in$

step 2

Find the area of the square

we know that

The area of the square is

$A=b^2$

we have

$b=12.75\ in$  

substitute

$A=(12.75)^2$

$A=162.5625\ in^2$