SOLUTION: W x (L=9) = 36 2 length is 9 inches greater than the width area 36in2. Can you please break down how this is done (the formula). Thank you

Question 104654This question is from textbook
: W x (L=9) = 36 2
length is 9 inches greater than the width area 36in2.
Can you please break down how this is done (the formula).
Thank you This question is from textbook

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The area of a rectangle is equal to A=L*W.
The area of your rectangle is 36 sq.inches.
Your first equation is
1.
You say that the length is 9 inches greater than the width, or
2.
Substitute your equation (2) into (1) and solve for W.

Distributive property.
Additive inverse of 36.
Factor the quadratic equation.
Solutions are
W=-12, W=3.
Since a negative width does not make sense, we throw out that solution.
W=3 inches

L=12 inches
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