SOLUTION: The perimeter of a rectangle is 8x+2 and the width is x+2. Express the area as a trinomial.

Question 118606: The perimeter of a rectangle is 8x+2 and the width is x+2. Express the area as a trinomial.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let L=expression for length

So we know that perimeter is

Now plug in and

Distribute

Subtract 2x from both sides

Subtract 4 from both sides

Combine like terms

Divide both sides by 2 to isolate L

So the length of the rectangle is

Now multiply the length and the width to get the area:

Now foil

So the area is
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