HaniyahQ293140 HaniyahQ293140
  • 25-10-2022
  • Mathematics
contestada

If a square has a perimeter of 28 inches, what is its area in square inches?

Respuesta :

ElizetteS236332 ElizetteS236332
  • 25-10-2022

Remember that

The formula to calculate the perimeter of a square is

[tex]P=4*b[/tex]

where

b is the length side of the square

we have

P=28 in

substitute in the formula

[tex]\begin{gathered} 28=4*b \\ sol\text{ve for b} \\ b=\frac{28}{4}=7\text{ in} \end{gathered}[/tex]

The area of a square is

[tex]A=b^2[/tex]

substitute the value of b

[tex]\begin{gathered} A=7^2 \\ A=49\text{ in}^2 \end{gathered}[/tex]

The area is 49 square inches

option C

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