Question

What is the area of a square window that has a perimeter of 52 feet? 13 104 169 225

Answer 1

Your answer would be A: 13.

Divide 52 by 4. = 13.

13 x 4 = 52.

The area of a square window that has a perimeter of 52 feet would equal to 13.

Hope helps!!-Aparri

Answer 2

The perimeter and area of a square of side $l$ are given by the following formulas:

$p = 4l,\quad A = l^2$

Since we know the perimeter, we can invert the first equation to deduce the side length:

$52 = 4l \iff l = \frac{52}{4} = 13$

And now that we know the side length, we have to square it to get the area:

$A = l^2 = 13^2 = 169$