If one side of a square is increased by 12 feet and the side connected to it is decreased by three feet, a rectangle is formed. The perimeter of the rectangle is 62 feet. How long was the side of the original square?

Question

Mathematics

Darien Meza

15 November, 18:58

If one side of a square is increased by 12 feet and the side connected to it is decreased by three feet, a rectangle is formed. The perimeter of the rectangle is 62 feet. How long was the side of the original square?

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Answers (1)

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Michael Bush · Answer 1

Answer:the length of each side of the square is 11 feet

Step-by-step explanation:

All the sides of a square are equal.

Let x represent the length of each side of the square.

If one side of a square is increased by 12 feet and the side connected to it is decreased by three feet, a rectangle is formed. It means that the dimensions of the rectangle formed are a + 12 and a - 3

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2 (L + W)

The perimeter of the rectangle is 62 feet. Therefore

62 = 2[ (a + 12) + (a - 3) ]

62 = 2 (2a + 9) = 4a + 18

4a = 62 - 18 = 44

a = 44/4 = 11 feet