Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

if the perimeter of a square garden is 84 feet, what is the area of the…

Question

if the perimeter of a square garden is 84 feet, what is the area of the garden? a 21 sq ft b 84 sq ft c 336 sq ft d 441 sq ft click the button or type the letter next to your answer.

Explanation:

Step1: Find side - length of square

The perimeter formula for a square is $P = 4s$, where $P$ is perimeter and $s$ is side - length. Given $P = 84$ feet, then $s=\frac{P}{4}=\frac{84}{4}=21$ feet.

Step2: Calculate area of square

The area formula for a square is $A=s^{2}$. Substitute $s = 21$ feet into the formula, so $A = 21^{2}=441$ square feet.

Answer:

D. 441 sq ft