SOLUTION: Framing a Painting Ali paints with watercolors on a sheet of paper 50 cm wide by 38 cm high. He then
places this sheet on a mat so that a uniformly wide strip of the mat shows al
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-> SOLUTION: Framing a Painting Ali paints with watercolors on a sheet of paper 50 cm wide by 38 cm high. He then
places this sheet on a mat so that a uniformly wide strip of the mat shows al
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Question 1188988: Framing a Painting Ali paints with watercolors on a sheet of paper 50 cm wide by 38 cm high. He then
places this sheet on a mat so that a uniformly wide strip of the mat shows all around the picture. The
perimeter of the mat is 256 cm. How wide is the strip of the mat showing around the picture?Vic Found 2 solutions by ankor@dixie-net.com, greenestamps:Answer by ankor@dixie-net.com(22740) (Show Source):
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Framing a Painting Ali paints with watercolors on a sheet of paper 50 cm wide by 38 cm high.
He then places this sheet on a mat so that a uniformly wide strip of the mat shows all around the picture.
The perimeter of the mat is 256 cm.
How wide is the strip of the mat showing around the picture?
:
let x = the width of the strip around the picture
let L = the length of the mat
let w = the width of the mat
:
perimeter
2L + 2w = 256
divide equation by 2
L + w = 128
w = (128-L), use this form for substitution
:
Find the values using the picture dimensions
L-2x = 50
and
w-2x = 38
replace w with (128-L)
(128-L) - 2x = 38
-L - 2x = 38 - 128
-L - 2x = -90
L + 2x = 90
Subtract from the 1st equation
L - 2x = 50
L + 2x = 90
-------------Subtraction eliminates L, find x
0 - 4x = -40
x = -40/-4
x = 10 cm is the width around the picture
