SOLUTION: If you have a picture that is 4 times as long as it is wide, and a frame that is 2" wide. The combined area of the frame is 252in^2. Find the dimensions of the photo w/o the frame.

Algebra.Com
Question 509056: If you have a picture that is 4 times as long as it is wide, and a frame that is 2" wide. The combined area of the frame is 252in^2. Find the dimensions of the photo w/o the frame.
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
If you have a picture that is 4 times as long as it is wide, and a frame that is 2" wide. The combined area of the frame is 252in^2. Find the dimensions of the photo w/o the frame.
**
let x=length
let y=width
x=4y
..
2*4x+2*4y+4*2^2=252
8x+8y+16=252
8*4y+8y+16=252
32y+8y=252-16
40y=236
y=236/40=5.9 in
x=4y=23.6 in
..
ans:
Dimensions of photo:
length=23.6 in
width=5.9 in

RELATED QUESTIONS

A RECTANGULAR PICTURE FRAME IS TWICE AS LONG AS IT IS WIDE. IF THE AREA OF THE FRAME IS... (answered by hkwu)
A picture is 5 inches by 7 inches. There is a frame around the picture that is of uniform (answered by josgarithmetic)
A picture frame is two-and-one-half times as long as it is wide. If its area is 250... (answered by josgarithmetic,MathTherapy)
A rectangular picture is 3 cm longer than it is wide. The picture is surrounded by a... (answered by ankor@dixie-net.com)
A picture frame holds a 4in by 6 in photo. The frame adds a border x inches wide around... (answered by ankor@dixie-net.com)
a picture is 1 inch longer than it is wide. It is put into a frame 1/2 inch wide. If the... (answered by stanbon)
The area of a rectangular picture frame is 112cm squared. If the frame is 6 centimeters... (answered by ewatrrr)
a picture is 30 cm long and 22 cm wide. it is placed in a uniform frame that us 3 cm... (answered by mananth)
A picture frame is 14cm by 18cm. There are 192cm^2 of picture showing. Find the width of... (answered by Paul)