SOLUTION: The perimeter of a rectangle is 76 cm. if the width is doubled and the length is halved, the new rectangle has a perimeter of 62 cm. What are the dimensions of the original rectang

Question 1009896: The perimeter of a rectangle is 76 cm. if the width is doubled and the length is halved, the new rectangle has a perimeter of 62 cm. What are the dimensions of the original rectangle and what is the area of the new rectangle?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The formula for perimeter is:
(1)
Also given:
(2)
---------------------------
(2)
and
(1)
(1)
-------------------
Subtract (1) from (2)
(2)
(1)
--------------------

and
(1)
(1)
(1)
The dimensions of the original rectangle are:
8 x 30
------------------
The area of the new rectangle is:

240 cm2
RELATED QUESTIONS
the perimeter of a rectangle is 74 inches. If the width is doubled and the length is... (answered by texttutoring)

The perimeter of a rectangle is 56 cm. If the length were halved and the width doubled,... (answered by mananth)

Rectangle has a width of 5 and height of x, if the width of the rectangle is doubled and... (answered by alicealc)

The perimeter of a rectangle is 36 cm. If the length is doubled, the perimeter is 60 cm. (answered by josgarithmetic)

The length of a certain rectangle is 10 meters greater than twice its width. if its... (answered by checkley77)

The length of a rectangle is 3 less than 5 times of its width. write a simplified... (answered by josgarithmetic,macston,MathTherapy)

The length of a rectangle is 3 less than 5 times of its width. write a simplified... (answered by macston)

how does the area of a rectangle change if it's width is doubled and it's length is... (answered by Alan3354)

The perimeter of a rectangle is 76 m. If the width were doubled and the length were... (answered by ankor@dixie-net.com)