SOLUTION: Jan paints with oil paints on a canvas that is 22 inches wide by 17 inches high. she then places the canvas on a mat so that a uniformly wide strip of mat shows all around the pain
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Question 258991: Jan paints with oil paints on a canvas that is 22 inches wide by 17 inches high. she then places the canvas on a mat so that a uniformly wide strip of mat shows all around the painting. The perimeter of the mat is 102 inches. How wide is the mat around the oil painting? Answer by drk(1908) (Show Source):
You can put this solution on YOUR website! WHat we are doing is adding an x to the left and the right of the length and then an x to the top and bottom of the width.
The original dimensions were
22 by 17.
The new dimensions are
(22 + 2x) by (17 + 2x).
we are given perimeter information, so we have
(i)
step 1 - Solving for x, use distributive property to get
(ii)
step 2 - combine like terms to get
step 3 - subtract 78 to get
(iii)
divide to get
(iv)
We have added 6 inches to the length and width, or the new dimensions are 28 x 23
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