Roll ends of carpet are on sale for six dollars per square yard. To finish the​ rough-cut edges, edging material costing 10 cents per foot is glued in place. Compute the total cost of a roll end measuring 9 feet by 10 feet.

Respuesta :

Answer:

Total cost the roll end is $63.8

Step-by-step explanation:

Since dimensions of the roll ends = 9 feet × 10 feet

By converting these dimensions in yards = [tex]\frac{9}{3}\times \frac{10}{3}[/tex] yards [Since 1 feet = [tex]\frac{1}{3}[/tex] yards]

Area of the roll ends = [tex]\frac{9}{3}\times \frac{10}{3}[/tex] = 10 square yards

Cost of the roll ends = $6 per square yards

So cost of these roll ends = 10×6 = $60

To finish the rough-cut edges, edging material costs = $0.10 per feet

Total length to be glued = Perimeter of the carpet

= 2(length + width)

= 2(9 + 10)

= $38

Total cost to glue the edging material = 38×($0.10) = $3.8

Now total cost of the roll end = $60 + $3.8

= $63.8

Therefore, total cost of a roll end = $63.8