SOLUTION: A poster is three times as long as it is wide. It is framed by a mat such that there is a 4 in. border around the poster. Find the dimensions of the poster is the area of the mat i

Algebra ->  Rectangles -> SOLUTION: A poster is three times as long as it is wide. It is framed by a mat such that there is a 4 in. border around the poster. Find the dimensions of the poster is the area of the mat i      Log On


   



Question 962400: A poster is three times as long as it is wide. It is framed by a mat such that there is a 4 in. border around the poster. Find the dimensions of the poster is the area of the mat is 488 in^2.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +w+ = width of the poster
+3w+ = the length of the poster
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+w+%2B+8+%29%2A%28+2w+%2B+8+%29+=+w%2A%282w%29+%2B+488+
+2w%5E2+=+16w+%2B+8w+%2B+64++=+2w%5E2+%2B+488+
+24w+%2B+64+=+488+
+24w+=+424+
+w+=+17.667+
+2w+=+35.333++
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The dimensions of the poster are:
17 and 2/3 inches x 35 and 1/3 inches
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check:
+w+%2B+8+%29%2A%28+2w+%2B+8+%29+=+w%2A%282w%29+%2B+488+
+17.667+%2B+8+%29%2A%28+35.333+%2B+8+%29+=+17.667%2A35.333+%2B+488+
+25.667%2A43.333+=+624.228+%2B+488+
+1112.228+=+1112.228+
looks good -hope I got it