Question

A fence is to be constructed around a yard 40 m x 16 m. The fence must have two openings, one that is 2.5 m long and another that is 5 m long. If the cost of the fence material is 12.50 per meter, how much will the material cost?

Answer 1

The total cost of the fence material will be $1,306.25

Step-by-step explanation:

To calculate the cost of the fence material, we first need to calculate the total perimeter of the fence. The yard has four sides, so the perimeter is equal to the sum of the lengths of all four sides. The two openings can be subtracted from the total perimeter as they do not require fencing material.

The total perimeter is 2(40+16) = 2(56) = 112 meters. Subtracting the length of the two openings, we have 112 - 2.5 - 5 = 104.5 meters of fencing material needed.

The cost of the fence material is $12.50 per meter. So, the total cost of the fence material would be 104.5 meters × $12.50/meter = $1306.25.