The length of a rectangle is 5 inches longer than it is wide. If the perimeter is 38 inches, what are the dimensions of the rectangle? The width, or shorter side is
inches.

The length, or longer side is
inches.

shorter side = 7 in

longer side = 12 in

Step-by-step explanation:

Let w = width

then w + 5 = length

The perimeter of the rectangle = 2 widths + 2 lengths.

So, w + w + w + 5 + w + 5 = 38  or 2w +2(w + 5) = 38 are two ways to write the equation to solve the problem.

Now 4w + 10 = 38

4w = 28

w = 7

w + 5 = 7 + 5 = 12

shorter side = 7 in

longer side = 12 in

Check:  7 + 7 + 12 + 12 = 38 = perimeter

answer for #1 is c

answer for #2 is d

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times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3