SOLUTION: We are in the section of solving equations by factoring. The question is: the length of the rectangle is 3 meters more than 2 times the width. If the area is 65 square meters, fin

Question 859080: We are in the section of solving equations by factoring.
The question is: the length of the rectangle is 3 meters more than 2 times the width. If the area is 65 square meters, find the width and length.
I keep getting fractions as answers, I know the equation for the Area of a rectangle is A=LW.
I keep plugging in 2x+3 but I am not getting the correct answer please help with the set up of the equation. Thank you.
Answer by Awesom3guy(31) (Show Source): You can put this solution on YOUR website!

Now plug in instead of L

Now put the equation in standard form.

You want to factor. Separate the middle term into two parts:

Factor the sides:

Factor the bracket and what's not in it:

Now what we have is two options:
, which gives that W equals -6.5, which is clearly not right.
, which gives that W equals 5.

Now, from , compute for L.

Width of the triangle is 5 m and its length is 13 m. Also check.
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