SOLUTION: The perimeter of a rectangle is 48 m. If the width were doubled and the length were increased by 24 m, the perimeter would be 112 m. What are the length and width of the rectangle?

Question 940621: The perimeter of a rectangle is 48 m. If the width were doubled and the length were increased by 24 m, the perimeter would be 112 m. What are the length and width of the rectangle?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The perimeter of a rectangle is 48 m. If the width were doubled and the length were increased by 24 m, the perimeter would be 112 m. What are the length and width of the rectangle?
-------
Perimeter = 2(length + width)
Original DATA
------
48 = 2(L + W)
L+W = 24 meters
----------------------
Modified DATA:
112 = 2(L+24 + 2W)
56 = L + 2W + 24
L + 2W = 32
-----
Solve the System::
L + W = 24
L + 2W = 32
--------------
Subtract and solve for "W:
W = 8 (original width)
L = 24-8 = 16 (original length)
--------------
Cheers,
Stan H.
--------------

RELATED QUESTIONS
Solve the problem. The perimeter of a rectangle is 62 m. If the width were doubled and... (answered by edjones)

Solve the problem. The perimeter of a rectangle is 62 m. If the width were doubled and... (answered by ankor@dixie-net.com)

The perimeter of a rectangle is 62 m. If the width were doubled and the length were... (answered by ankor@dixie-net.com,josmiceli)

The perimeter of a rectangle is 62 m. If the width were doubled and the length were... (answered by richwmiller)

the perimeter of a rectangle is 82 m. if the width were doubled and the length were... (answered by scott8148)

The perimeter of a rectangle is 48 m. If the width were doubled and the length were... (answered by josgarithmetic)

The perimeter of a rectangle is 46m. If the width were doubled and the length were... (answered by nerdybill,gonzo)

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

The perimeter of a rectangle is 72 m. If the width were doubled and the length were... (answered by ankor@dixie-net.com)