Question

Question 5 of 5

Select the correct answer from each drop-down menu.
The area of this rectangle is 54 square inches. Create an equation to find the value of n.
3(n-1)
54 square inches n+2
rẻ tint
▼ = 0

Answer 1

`3n^2+3n-6=54`

Explanation:

Total Area=54 square inches. Area=length*width.

Because the length is
`[3(n-1)]`, and the width is
`(n+2)`, you can plug that into the equation for area. In this case, because the total area is 54, we can plug that in for area.

`[3(n-1)](n+2)=54`

Distribute through the parenthesis in
`3(n-1)`.

`(3n-3)(n+2)=54`

Then, multiply
`3n-3` and
`n+2` using whatever method you prefer. I used FOIL, which stands for First, Outer, Inner, Last. You multiply the first terms together, the outer terms together, the inner terms together, and the last terms together.

`3n^2+6n-3n-6=54`

Simplify.

`3n^2+3n-6=54`