mattk
14

# The length of a rectangular mural is 2ft. more than three times the width the area is 165 sq. ft. Find the Width And Length

We know that the formula for the area of a rectangle is:  $A=lw$  We know that the area is 165. Now we need to solve for the dimensions.  Let the width of the rectangle be "$x$" Then the length of the rectangle is $3x+2$  Substitute.  $(3x+2)(x)=156$  Multiply the terms.  $3x^2+2x=156$  Bring the 156 over.  $3x^2+2x-156=0$  We have to use the quadratic formula to solve this now. Let us restate it:  $x= \frac{-b± \sqrt{b^2-4ac} }{2a}$ Now I'm going to fast forward this because all the rest is boring stuff and substitution. The answer is:  $\frac{ \sqrt{469}-1 }{3}$ Since we cannot have a negative answer, we must cancel out the other answer, which I did not include.  Hope this helped! :)  ~Cam943, Junior Moderator