The length of each side of a square was decreased by 2 inches so the perimeter is now 49 inches. What was the original length of

Question

3 years ago

12

each side of the square

1 answer:

aleksley [76] · Answer 1 · 2022-03-08T22:14:11+03:00

The Original length of each side of square was 14.25 inches.

Step-by-step explanation:

Perimeter of a square is given by:

Perimeter = 4 * side

Let x be the original length of each side of square

So

decreasing 2 inch will mean

$x-2$

Perimeter of square after reducing 2 inches from each side

$4(x-2) = 49\\4x-8 = 49\\4x = 49+8\\4x = 57\\\frac{4x}{4} = \frac{57}{4}\\x = 14.25$

So,

The Original length of each side of square was 14.25 inches.

Keywords: Perimeter, square

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