SOLUTION: The perimeter of a rectangle is 68 cm. If the width is increased by 2cm. and twice th length is increased by 10cm, the new perimeter is 100 cm. What are the dimensions of the origi

Algebra ->  Rectangles -> SOLUTION: The perimeter of a rectangle is 68 cm. If the width is increased by 2cm. and twice th length is increased by 10cm, the new perimeter is 100 cm. What are the dimensions of the origi      Log On


   

Question 328313: The perimeter of a rectangle is 68 cm. If the width is increased by 2cm. and twice th length is increased by 10cm, the new perimeter is 100 cm. What are the dimensions of the original rectangle?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let width be x
length =y
2(x+y)=68
x+y=34-------------------1
..
2*((x+2)+(2y+10)=100
x+2+2y+10=50
x+2y+12=50
x+2y=50-12
x+2y=38-----------------2
Subtract equation 1 from 2
x+2y-x-y=38-34
y=4..
x+y=34
plug the value of y
x+4=34
x=30
dimensions are 30 cm by 4 cm