# The square and the rectangle have the same area of 16 cm2, the perimeter of which quadrilateral

The square and the rectangle have the same area of 16 cm2, the perimeter of which quadrilateral is greater if the length of the rectangle is 8 cm.

1. To find the perimeter of a square, you need to find its side. The side is found by the formula a = √S, where a is the side of the square, S is its area:
a = √16 = 4 cm.
2. Find the perimeter of the square by the formula P = 4a, where P is the perimeter of the square, and is its side:
P square = 4 * 4 = 16 cm.
3.To find the perimeter of a rectangle, you need to find the width of the rectangle by the formula a = S / b, where a is the width of the rectangle, S is the area of ​​the rectangle, b is the length of the rectangle:
a = 16/8 = 2 cm.
4. Find the perimeter of the rectangle by the formula P = 2a + 2b, where P is the perimeter of the rectangle, a and b are the width and length of the rectangle:
P rectangle = 2 * 2 + 2 * 8 = 4 + 16 = 20 cm.
5. Let’s compare the perimeter of a square and a rectangle:
16 cm <20 cm.
Answer: The perimeter of the rectangle is larger than the perimeter of the square.

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