SOLUTION: You are making a frame for a painting. The painting is 17in by 11in. You want the total area of the painting and frame to be 315in^2. The frame will be the same width on all sides.

Question 872809: You are making a frame for a painting. The painting is 17in by 11in. You want the total area of the painting and frame to be 315in^2. The frame will be the same width on all sides. What should the outer dimensions of the frame be?
Found 2 solutions by josgarithmetic, mananth:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The frame width is needed and should be found first. Let x be this width.

=Area inside the outer dimensions of the frame plus picture.
, total area of painting plus frame.

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The realistic value for x is 2.

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Dimensions of the frame on the outside are 21 and 15 inches.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Let the width be x
..
Length of picture 17 in
width of picture 11 in

Area = 187 In^2
Area of picture +frame 315 In^2
length of picture +frame 17 + 2 x
width of picture +frame 11 + 2 x

( 17 + 2 x ) ( 11 + 2 x ) = 315

187 + 34 x + 22 x + 4 X^2 = 315
4 X^2 + 56 x -128 = 0

4x^2+64x-8x-128=0
4x(x+16)-8(x+16)=0
(x+16)(4x-8)=0
x=-16 OR x=2
taking positive value
the outside dimensions are
19 by 13 in

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