Quick help Algebra question

Algebra
Tutor: None Selected Time limit: 1 Day

The length of a rectangle is

3 m  more than twice the width, and the area of the rectangle is  54 m^2

 .Find the dimensions of the rectangle.

 

Length    m

Width      m

Feb 10th, 2015

length=3+2x

width=x

Area = (3+2x)x = 2x^2+3x = 54

2x^2+3x-54=0

2x^2-9x+12x-54=0

x(2x-9)+6(2x-9)=0

(2x-9)(x+6)=0

2x= 9 or x = -6

x= -6 we ignore the negative value

2x=9

x=9/2 =4.5

width =4.5 m

Length = 2*4.5+3 =12 m

rate my answer as best please


Feb 10th, 2015

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