SOLUTION: The length of a deck is 4 more than twice the width.If the perimeter of the deck is 116 feet,what are the dimensions of the deck

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Question 1106125: The length of a deck is 4 more than twice the width.If the perimeter of the deck is 116 feet,what are the dimensions of the deck
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +w+ = the width of the deck
+2w+%2B+4+ = the length of the deck
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The formula for perimeter of a rectangle is:
+P+=+2w+%2B+2l+
+P+=+116+
+116+=+2w+%2B+2%2A%28+2w+%2B+4+%29+
+116+=+2w+%2B+4w+%2B+8+
+116+=+6w+%2B+8+
+6w+=+108+
+w+=+18+ ft
and
+2w+%2B+4+=+2%2A18+%2B+4+
+2w+%2B+4+=+36+%2B+4+
+2w+%2B+4+=+40+ ft
The deck's dimensions are 18 x 40 ft2
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check:
+P+=+2w+%2B+2l+
+P+=+2%2A18+%2B+2%2A40+
+P+=+36+%2B+80+
+P+=+116+ ft
OK