# The perimeter of a square with a side of 8 cm and a rectangle with a length of 12 cm are equal.

August 27, 2021 | education

| **The perimeter of a square with a side of 8 cm and a rectangle with a length of 12 cm are equal. Find the width of the rectangle.**

1. Find the perimeter of a square with a side of 8 cm. To do this, multiply the side by 4:

The perimeter of the square = 8 * 4 = 32 cm.

2. Since the perimeter of the square is equal to the perimeter of the rectangle, then the perimeter of the latter is 32 cm.

3. If the perimeter and length of the rectangle are known, we find its width by the formula: a = (P – 2b) / 2, where P is the perimeter of a rectangle with width a and length b:

a = (32 – 2 * 12) / 2 = (32 – 24) / 2 = 8/2 = 4 cm.

Answer: The width of the rectangle is 4 cm.

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