SOLUTION: a rectangle has a length 2m less than twice its width. When 3 m are added to the width, the resulting figures is a square with an area of 64 m^2. Find the dimensions of the origina

Algebra.Com
Question 1002268: a rectangle has a length 2m less than twice its width. When 3 m are added to the width, the resulting figures is a square with an area of 64 m^2. Find the dimensions of the original rectangle
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
a rectangle has a length 2m less than twice its width. When 3 m are added to the width, the resulting figures is a square with an area of 64 m^2. Find the dimensions of the original rectangle
let x=width
2x-2=length
(x+3)^2=x^2+6x+9=64
x^2+6x-55=0
(x+11)(x-5)=0
x=5
2x-2=8
dimensions of the original rectangle:
width=5 m
length=8 m

RELATED QUESTIONS

A rectangle has a length 2m less than twice its width. When 2m are added to the​... (answered by richwmiller)
A rectangle has a length 6m less than twice its width. when 5 m are added to the width,... (answered by stanbon)
A rectangle has a length 2 meters less than twice its width. When 5 meters is added to... (answered by checkley77)
A rectangle has a length 2 meters less than twice its width. When 5 meters is added to... (answered by ankor@dixie-net.com)
A rectangle has a length 2 meters less than twice its width. When 5 meters is added to... (answered by checkley77)
a rectangle has a length that is 3 meters longer than twice the width what are the... (answered by Fombitz)
The length of each of a square is 1 cm more than the width of a rectangle. the length of... (answered by josgarithmetic)
A rectangle has a perimeter of 30 inches, its length is one less than 3 times its width.... (answered by ewatrrr)
Just a random question: "Originally a rectangle was twice as long as it was wide. When 4 (answered by scott8148)