Format of Inch x inch?

Question

A rectangle has a perimeter of 24 inches. The length is 4 inches longer than the width. Find the dimensions of the rectangle. 

Answer 1

Hey Lily!

First, you need to remember the formula for the perimeter of a rectangle. This can be found by adding all of the sides, so: (Length + Length + Width + Width = Perimeter)

Next, have to understand what our length and width are. We know the length is longer, so let's classify the Width = x. This means the Length = x + 4. This is because the length is "4 inches longer."

Now, we just plug it in.

24 = (x) + (x) + (x+4) + (x+4)

24 = 4x + 8

16 = 4x

4 = x

So, our width is 4 inches and our length is 8 inches.

Hope this helped!

Answer 2

Let L= length and W = width

Perimeter = 2(L+W) = 24 => L+W = 12

L=W+4

Substitute

W+4+W= 12

2W = 8

W=4

L=8