Question

a farmer needs to build a goat pen. the pen will be 4 meters wide and 10 meters long. the fencing material costs $2.00 per meter. how much will it cost to buy enough fencing material to build the goat pen?

Explanation:

Step1: Calculate the perimeter of the pen

The pen is rectangular. The formula for the perimeter of a rectangle is \(P = 2(l + w)\), where \(l = 10\) meters (length) and \(w = 4\) meters (width).
$$P=2\times(10 + 4)=2\times14 = 28$$ meters.

Step2: Calculate the cost of the fencing material

The cost per meter is \(\$2.00\). Multiply the perimeter by the cost per meter. Let \(C\) be the total cost. Then \(C=28\times2\).
$$C = 56$$

Answer:

\(56\)