SOLUTION: A livestock pen is built in the shape of a rectangle that is twice as long as it is wide. The perimeter is 48 feet. If the material used to build the pen is $2.25 per foot for the

Algebra ->  Rectangles -> SOLUTION: A livestock pen is built in the shape of a rectangle that is twice as long as it is wide. The perimeter is 48 feet. If the material used to build the pen is $2.25 per foot for the       Log On


   



Question 1019712: A livestock pen is built in the shape of a rectangle that is twice as long as it is wide. The perimeter is 48 feet. If the material used to build the pen is $2.25 per foot for the longer sides and $4.25 per foot for the shorter sides (the shorter sides have gates, which increase the cost per foot), find the cost to build the pen.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the width
+2x+ = the length
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Use the formula for perimeter:
+48+=+x+%2B+x+%2B+2x+%2B+2x+
+6x+=+48+
+x+=+8+
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The 2 shorter sides add up to:
+2x+=+2%2A8+
+2x+=+16+ ft
The 2 longer sides add up to:
+4x+=+32+ ft
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Let +C+ = the cost to build the pen
+C+=+2.25%2A32+%2B+4.25%2A16+
+C+=+72+%2B+68+
+C+=+140+
$140