Question

8. The area of a rectangle is 13x + 2 square units. The

width is 9. The length is x + 6. What is the length?

Answer 1

L=19

Explanation:

Since the formula to find the area of a rectangle is
`A= w(l)` we must start by plugging the given data into this equation

`13x+2=9(x+6)`

Then solve!

`13x+2=9(x+6)\\13x+2=9x+54\\4x+2=54\\4x=52\\x=13`

Since we now know that x equals, we are able to find the length by plugging 13 into the given function for the length.

`l=13+6=19`

Make sure to check your work!

`13(13)+2=9(13+6)\\169+2=9(19)\\171=171`