Question

The formula for the perimeter of a rectangle is p=2L+2W. A rectangle has a perimeter of 24 inches. Find it’s dimension if it’s lenghth is 3 inches greater than its width

Answer 1

We are given that P = 2l + 2w, P = 24, l = w + 3.
Now, just substitute the information into the formula:

`24 = 2(w+3) + 2(w)`
Now, just solve for w:

`24 = 4w + 6`

`18 = 4w`
`w = (18)/(4)`
Now that we have the value for w, plug it back in to the equation l = w + 3

`l = w + 3`

`l = (18)/(4)+3`

`l = (30)/(4)`

Now, just simplify the fractions: 18/4 = 9/2; 30/4 = 15/2

The width of the rectangle is 9/4. The height of the rectangle is 15/2. Hope this helps and have a significant day!