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

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
RELATED QUESTIONS
A livestock pen is built in the shape of a rectangle that is twice as long as it is wide. (answered by Stitch)

A livestock pen is built in the shape of a rectangle that is twice as long as it is wide. (answered by josmiceli)

A livestock pen is built in the shape of a rectangle that is 2 times as long as it is... (answered by Boreal)

A livestock pen is built in the shape of a rectangle that is 3 times as long as it is (answered by ikleyn)

A rectangular table is three times as long as it is wide. If the area is 48ft^2, find the (answered by checkley77)

A rectangular dog pen is twice as long as it is wide. The perimeter is 36ft. Find the... (answered by Cromlix)

A piece of wire 38m long is bent into the shape of a rectangle that is twice as long as... (answered by veeru)

a rectangular dog pen is 6 feet longer than the width.the perimeter of the pen is 48ft.... (answered by ikleyn)

if a patio is in the shape of a rectangel. the width is 10feet and the perimeter is 50... (answered by rfer)