SOLUTION: A livestock pen is built in the shape of a rectangel that is twice as long as it is wide. The perimeter is 48ft. If the material used to build the pen is $1.75 per foot for the lon
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-> SOLUTION: A livestock pen is built in the shape of a rectangel that is twice as long as it is wide. The perimeter is 48ft. If the material used to build the pen is $1.75 per foot for the lon
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Question 145549: A livestock pen is built in the shape of a rectangel that is twice as long as it is wide. The perimeter is 48ft. If the material used to build the pen is $1.75 per foot for the longer sides and $2.25 per foot for the shorter sides, find the cost to build the pen. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A livestock pen is built in the shape of a rectangle that is twice as long as it is wide. The perimeter is 48ft. If the material used to build the pen is $1.75 per foot for the longer sides and $2.25 per foot for the shorter sides, find the cost to build the pen.
:
Let x = the width of the pen
then
2x = the length
:
Perimeter
2L + 2W = 48
simplify
L + W = 24
Substitute for L and W
2x + x = 24
x =
x = 8 ft is the width
and
16 ft is the length
;
Find the cost
1.75(2(16)) + 2.25(2(8))
1.75(32) + 2.25(16) =
56 + 36 = $92
