SOLUTION: rectangle where length is one more unit than width ,,the area is 30 square units ,,,what are the length and width dimensions,,,,,neeed the equation

Algebra.Com
Question 157573: rectangle where length is one more unit than width ,,the area is 30 square units ,,,what are the length and width dimensions,,,,,neeed the equation
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
rectangle where length is one more unit than width ,,the area is 30 square units ,,,what are the length and width dimensions,,,,,neeed the equation
------------
Area = Length x Width, or
A = L*W
so L*W = 30, and L = W+1
------
A=LW eqn 1
L=W+1 eqn 2
Sub into eqn for for L
A = (W+1)*W = 30
W^2 + W = 30
W^2 + W -30 = 0
Factor it
(W + 6)*(W-5) = 0
W = -6
W = 5
-------------
A rectangle -6 by -5 makes no sense, so ignore that one.
W = 5
L = 6

RELATED QUESTIONS

The length of a rectangle is one unit more than its width. If the area is 30, square... (answered by checkley79)
The length of a rectangle is 1 unit more than the width. If the area of the rectangle is... (answered by solver91311,Alan3354,ikleyn)
Lenght of a rectangle is 1 unit more than it's width. The area of this rectangle is 30 (answered by richard1234)
the length of a rectangle is one unit more than its width.if the area is 30 square... (answered by checkley77)
a certain rectangle has an area of 80 square units. its length is one more than three... (answered by mananth)
The length of a rectangle is one more than three times the width. What are the dimensions (answered by JimboP1977)
the length of a rectangle is one unit more than it's width. if the area is 30 square... (answered by supriyo_bol)
the length of a rectangle is 6 more inches than the width. the area of the rectangle is... (answered by stanbon)