SOLUTION: The length of a rectangle is 6 inches more than 4 times the width. If the area of the rectangle is 54 square inches, find the length and the width.

Question 916117: The length of a rectangle is 6 inches more than 4 times the width. If the area of the rectangle is 54 square inches, find the length and the width.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The length of a rectangle is 6 inches more than 4 times the width. If the area of the rectangle is 54 square inches, find the length and the width.
***
let x=width of rectangle
4x+6=length of rectangle
width*length=area
x(4x+6)=54
4x^2+6x=54
4x^2+6x-54=0
2x^2+3x-27=0
(2x+9)(x-3)=0
x=3
4x+6=18
width of rectangle=3 inches
length of rectangle=18 inches
RELATED QUESTIONS
The length of a rectangle is 6 inches more than its width. The area of the rectangle... (answered by checkley79)

The length of a rectangle is 6 inches less than three times its width. Find the... (answered by RAY100)

the length of a rectangle is 4 inches more than it's width. the area of the rectangle is... (answered by ewatrrr)

The length of a rectangle is 5 inches more than 4 times the width. If the area of (answered by josgarithmetic,greenestamps)

The length of a rectangle is 4 inches more than its width. If the area of the rectangle... (answered by richard1234)

[ The length of a rectangle is 7 inches more than 5 times its width, the area is 108... (answered by TimothyLamb)

the area of a rectangle is 40 square inches. The length is 6 inches more than the width.... (answered by JBarnum)

the length of a rectangle is 6 more inches than the width. the area of the rectangle is... (answered by stanbon)

The area of a rectangle is 84 square inches. Find the dimensions of the rectangle if the... (answered by josgarithmetic)