Suppose the length of each side of a square is increased by 5 feet.if the perimeter of the square is now 56 feet.what were the original side lengths of the square?

The perimeter is the sum of the length of every side of a shape. In a square, the four sides are of equal length. To solve for the length of one side of the square, simply divide the perimeter by 4.

In this case, the perimeter has increased to 56 feet, and we would like to know what the length of each new side is.

56/4 = 14 ft; The length of each new side is 14 ft.

To find the original side lengths in this case, subtract 5 from the length of each new side, since each side length increased by 5.

14 - 5 = 9 ft.

The original side lengths were all 9 ft.

akposevictor akposevictor · Answer 2 · 2022-04-15T14:05:11+02:00

The original length of the square given its new perimeter is: 9 ft.

What is the Perimeter of a Square?

Perimeter of a square = 4(side length).

Let x represents the orginal length of the square. Therefore:

New side length = (x + 5) ft
New perimeter = 56 ft

Find x using the perimeter formula:

4(x + 5) = 56

4x + 20 = 56

4x = 56 - 20

4x = 36

x = 36/4

x = 9

Therefore, the original length of the square given its new perimeter is: 9 ft.

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