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| Math Central | Quandaries & Queries |
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Question from Julieta, a student: The area of a field shaped like a triangle is 750yards squared. One leg of the field is fenced with wood costing $5/yd. The remainder of the perimeter of the field is fenced with steel costing $10/yd. The perimeter of the field is 150yards. the total cost of the fencing is $1200. |
Julieta,
Suppose that the leg of the triangle to be fenced in wood is x yards long. Since the total perimeter is 150 yards the sum of the lengths of the other two sides must be 150 - x yards. The wood costs $5 per yard so putting a wooded fence along the side of length x yards will cost 5x dollars. The steel fencing costs $100 per yard so fencing the remaining two sides with steel fencing will cost 10(150 - x) dollars. The total cost for the fencing is $1200.
Can you complete the problem now?
If you need further assistance write back.
Penny
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