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

| December 27, 2020 | education

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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