# The length and width of a rectangle are consecutive integers. The perimeter of the rectangle is 42 inches. Find the length and wid

Question

The length and width of a rectangle are consecutive integers. The perimeter of the rectangle is 42 inches. Find the length and width of the rectangle.

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1 month 2022-12-26T22:03:18+00:00 1 Answer 0 views 0

## Answer ( 1 )

1. The length and the width are 21. 5 and 20. 5

### What is the perimeter of a rectangle?

The formula for perimeter of a rectangle is given as;
Perimeter = 2length + 2 width
From the information given, we have the length and width to be consecutive integers
Let the length be l and the width be w
Substitute the value for perimeter in the equation;
42 = 2l + 2w
factor out 2
42 = 2 ( l + w)
Divide both sides by 2
42/2 = l + w
21 = l + w
If the length and width are consecutive integers, then either of them are greater than the other by 1
The length = 21. 5
The width = 20.5
Thus, the length and the width are 21. 5 and 20. 5