To find the area of the banner needed, we first need to calculate the perimeter of the fenced area.
Perimeter = 2(length + width) + 2(height)
Perimeter = 2(12 + 8) + 2(8)
Perimeter = 2(20) + 2(8)
Perimeter = 40 + 16
Perimeter = 56 ft
Now, we need to calculate the length of the banner needed by adding the width of each piece of wood around the perimeter of the fence.
For the larger pieces of wood:
Length of banner = 56 ft + 2(4 ft) + 2(2 ft)
Length of banner = 56 ft + 8 ft + 4 ft
Length of banner = 68 ft
For the smaller pieces of wood:
Length of banner = 56 ft + 2(2 ft) + 2(1 ft)
Length of banner = 56 ft + 4 ft + 2 ft
Length of banner = 62 ft
Since the salesperson needs to cover the entire perimeter of the fence, they will need a banner that is at least 68 ft long and 62 ft wide. Therefore, the area of the banner needed is:
Area of the banner = Length x Width
Area of the banner = 68 ft x 62 ft
Area of the banner = 4216 sq ft
So, the salesperson needs to buy a banner with an area of 4216 sq ft.
A wood salesperson has a fenced area in which they keep all their wood to keep it
organized. The area itself is 12 ft. long and 8 ft. wide. The fence is 8 ft. high. They
have bigger pieces of wood that are 4 ft. long and 2 ft. wide and smaller pieces of wood
that are 2 ft. long and 1 ft. wide. Each piece of wood is 6 in., or ½ ft., tall.
4. The wood salesperson wants to get a banner made that can wrap around the
outside of the fence. What is the area of the banner that the sales person needs to
buy?
1 answer