SOLUTION: The length of a picture frame is 6 cm longer than the width. If the length is increased by 9 cm and the width by 5 cm, the perimeter will be 160cm. Find the dimensions of the origi

Question 787368: The length of a picture frame is 6 cm longer than the width. If the length is increased by 9 cm and the width by 5 cm, the perimeter will be 160cm. Find the dimensions of the original rectangle.
I have been stuck on this problem for more than an hour. Can someone please help me?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The length of a picture frame is 6 cm longer than the width. If the length is increased by 9 cm and the width by 5 cm, the perimeter will be 160cm. Find the dimensions of the original rectangle.
--------
Original dimensions:
Let width = x cm ; then length = x+6 cm
-------
New dimensions:
length = x+6+9 = x+15 cm ; width = x+5 cm
-------
Equation:
P = 2(L + W)
160 = 2(x+15 +x+5)
80 = 2x + 20
2x = 60
x = 30
--------------------------
Original dimensions::
width = x = 30 cm
length = x+6 = 36 cm
============================
Cheers,
Stan H.
================
RELATED QUESTIONS
A rectangle is 5 cm. longer than it is wide. If its length and width both increased by 3... (answered by josmiceli)

A picture frame has a perimeter of 100 cm. Its width is 4 cm less than twice its length.... (answered by thejackal)

A rectangular picture frame has a length of x cm. and a width of 30 cm. If the diagonal... (answered by TimothyLamb)

A rectangle is 8 cm longer than it is wide. If the width is increased by 3 cm and the... (answered by Fombitz)

The length of a rectangular frame is 6 cm more than the width. The area inside the frame... (answered by nerdybill)

The length of a rectangular frame is 6 cm more than the width. The area inside the frame... (answered by College Student)

The frame of a picture is 28 cm by 32 cm outside and is of uniform width. What is the... (answered by fractalier)

The frame on a picture is 28 cm by 32 cm outside and is of uniform width. What is the... (answered by lwsshak3)

the length of a rectangular frame is 5 cm more than the width. the area inside the frame... (answered by tutorcecilia)