SOLUTION: length of a rectangular dance floor is 22 feet more than the width .perimeter of the floor is 156 feet. a designer charges $12 for a square foot of carpet plus $99 for carpeting th

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Question 1091740: length of a rectangular dance floor is 22 feet more than the width .perimeter of the floor is 156 feet. a designer charges $12 for a square foot of carpet plus $99 for carpeting the entire room. calculate cost of carpeting the floor.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +w+ = width in feet
+w+%2B+22+ = length in feet
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The equation for the perimeter is:
+2w+%2B+2%2A%28+w+%2B+22+%29+=+156+ ft
+2w+%2B+2w+%2B+44+=+156+
+4w+=+112+
+w+=+28+
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The equation for the area,+A+ is
+A+=+w%2A%28+w%2B+22+%29+
+A+=+28%2A%28+28+%2B+22+%29+
+A+=+28%2A50+
+A+=+1400+ ft2
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The equation for total cost, +C+ for carpeting is:
+C+=+1400%2A12+%2B+99+
+C+=+16800+%2B+99+
+C+=+16899+
The cost is $16,899