The perimeter of the square kitchen floor measures 48 feet. What is the area of the kitchen floor? A. 32 feet B. 96 square feet C. 144 square feet D. 144 cubic feet

Respuesta :

Answer:

C. 144 square feet

Step-by-step explanation:

step 1

we know that

The perimeter of a square is given by the formula

[tex]P=4a[/tex]

where

P is the perimeter

a is the length side of the square

we have

[tex]p=48\ ft[/tex]

substitute in the formula

[tex]48=4a[/tex]

solve for a

divide both sides by 4

[tex]a=12\ ft[/tex]

step 2

Find the area

The area of a square is given by the formula

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

we have

[tex]a=12\ ft[/tex]

substitute

[tex]A=12^2=144\ ft^2[/tex]