SOLUTION: please help me solve this problem: the dimensions of a rectangle are such that its length is 3 inches more than its width. if the length were doubled and if the with decreased by

Question 378785: please help me solve this problem: the dimensions of a rectangle are such that its length is 3 inches more than its width. if the length were doubled and if the with decreased by 1 inch the area would be increased by 50 inches^2. what are the length and width of the rectangle?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
the dimensions of a rectangle are such that its length is 3 inches more than its width. if the length were doubled and if the with decreased by 1 inch the area would be increased by 50 inches^2. what are the length and width of the rectangle?
...
width be x
length = x+3
..
Area = x(x+3)
Area = x^2+3x
...
length doubled = 2(x+3)
width x-1
Area = 2(x+3)*(x-1)
Area = 2(x^2+2x-3)
...
2(x^2+2x-3)-(x^2+3x)=50
2x^2+4x-6-x^2-3x=50
x^2+x-6=50
x^2+x-56=0
x^2+8x-7x-56=0
x(x+8)-7(x+8)=0
(x+8)(x-7)=0
x=7 ignore -8
width = 7 inches
length = x+3 = 10 inches
...
m.ananth@hotmail.ca
RELATED QUESTIONS
Please help me solve this word problem. Three times the width of a certain rectangle... (answered by ankor@dixie-net.com)

Please help me solve this word problem: The dimensions of a rectangular monitor screen (answered by rothauserc)

Please help me solve this word problem. Geometry. The length of a rectangle is 2 cm... (answered by ankor@dixie-net.com)

How do you solve this? The dimensions of a rectangle are such that its length is 3... (answered by htmentor)

Please help with this question: There are three rectangles of equal area. The length of (answered by drj)

Please help me solve this word problem. :A rectangle has a length six inches less than... (answered by ewatrrr)

Please help me solve this problem: The dementions of a rectangle are such that its length (answered by stanbon)

Would you please help me solve this word problem?? The length of a rectangle is three... (answered by MathLover1)

the length of a rectangle is 2 inches more than twice its width, if the perimeter of the... (answered by checkley71)