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show your work!!!!!!!!!!!!!!! the area of a square is equal to 1296 $ft…

Question

show your work!!!!!!!!!!!!!!! the area of a square is equal to 1296 $ft^2$ find the perimeter of the square if the side lengths are increased by 7 feet. each side of the square is feet (just type the number) the perimeter is feet (just type the number)

Explanation:

Step1: Find original square side

The area of a square is $A = s^2$, so solve for $s$:
$$s = \sqrt{A} = \sqrt{1296}$$
$$s = 36$$

Step2: Calculate new side length

Add 7 to original side:
$$s_{\text{new}} = 36 + 7 = 43$$

Step3: Compute new perimeter

Perimeter of square is $P = 4s_{\text{new}}$:
$$P = 4 \times 43 = 172$$

Answer:

36
172