area and perimeter

Question

The perimeter of a rectangular note card is 18 inches. The area is 18 square inches. What are the dimensions of the note card?

Answer 1

I would first write down the multiple factors of 18 (1,18,2,9, etc.) and see which one of these works by focusing on the area first.

Area is solved by: Length X Width so for example taking 1 and 18 as our dimensions. (1 x 18 = 18 squared inches )

To solve for the perimeter of a rectangular note card (4 sides) it is 2(Length)+2(Width) so 2(18)+2(1) = 38 inches so the dimensions aren't 1 x 18.

Answer 2

w represents the width

9 - w represents the length

w(9 - w) = 18

Can you solve for w and answer?