Question

Mr. takeuchi wants to fence in an area that is 17 1/2 feet long by 10 1/2 feet wide. The local hardware store is selling a package of 4 panels of fencing for $72.92. Each panel is 42 inches wide and 48 inches tall. Mr. Takeuchi also wants to put inna gate along the length of the garden. The gate is 3 1/2 feet wide and 48 inches tall and costs $129. how nuch will it cost to fence in the area?

Answer 1

To fence in the area, we calculate the perimeter and the number of panels required. We then determine the cost of the panels and add the cost of the gate to get the total cost of fencing in the area.

Step-by-step explanation:

To calculate the cost of fencing in the area, we first need to find the total length of the fence needed. The area is 17 1/2 feet long and 10 1/2 feet wide, so the perimeter is given by:

Perimeter = 2(length + width)

Perimeter = 2(17 1/2 + 10 1/2)

Perimeter = 2(28)

Perimeter = 56 feet

Next, we determine the number of panels required. Each panel is 42 inches wide, which is 3 1/2 feet, so:

Number of panels = Perimeter / panel width

Number of panels = 56 / 3 1/2

Number of panels = 16

Now we can calculate the cost of the panels:

Cost of panels = Number of panels * cost per package

Cost of panels = 16 * $72.92

Finally, we add the cost of the gate to get the total cost of fencing in the area:

Total cost = Cost of panels + Cost of gate