## The length of a rectangles is 3 inches less than the width. If the perimeter of the rectangle is 14 inches, find the dimensions.

Question

The length of a rectangles is 3 inches less than the width. If the perimeter of the rectangle is 14 inches, find the dimensions.

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1 week 2021-10-06T11:11:32+00:00 1 Answer 0

The answer would be 5 inches for the width and 2 inches for the length of the rectangle.

Step-by-step explanation:

The first step would be to write an equation:

2x+ 2(x-3) = 14 inches

Next do the distributive property:

2x+ 2(x-3) = 14 inches —> 2x+ 2x-6 = 14 inches

After that, combine like terms:

2x+ 2x-6 = 14 inches —> 4x-6 = 14 inches

Then, add 6 to both sides:

4x-6 = 14 inches —> 4x-6+(6) = 14 inches+(6) —> 4x = 20 inches

Following this, divide both sides by 4:

4x = 20 inches —> 4x÷(4) = 20 inches÷(4) —> x = 5 inches

You now have the side length of the rectangle’s width.

Lastly, find the length.

5 – 3 = 2 inches

To double-check, check with the equation.

2x+ 2(x-3) = 14 inches —> 2(5)+ 2(5-3) = 14 inches —>

2(5) +2(2) = 14 inches —> 10+4 = 14 inches —> 14=14 inches