Question

your drapery business has just gotten a new client who needs 4 drapes. each one will need to be 8 feet by 5 feet and you must add an additional 6 inches on top and bottom for a hem. the customer has chosen the fabric but the store only has 6 linear yards of material. is that enough to make all the drapes? why or why not?

Answer 1

1. You have that:

- The new client who needs 4 drapes.
- Each dreape will need to be 8 feet by 5 feet. Therefore, the perimeter will be:

P1=8 ft+8 ft+5 ft+5 ft
P1=26 ft

- You must add an additional 6 inches on top and bottom. Therfore, the perimeter will be:

1 inch=0.0833 ft
6 inches=0.499 ft≈0.50 ft

P2= 2(0.50 ft++0.50 ft+8 ft+8 ft)
P2=34 ft

- Thefore, the total perimeter of the drape will be:

Pt=26 ft+34 ft
Pt=60 ft

- The perimeter of 4 drapes will be:

=60 ftx4
=240 ft

- The problem says that the store only has 6 linear yards of material. Therefore:

6 yards=18 ft

The answer is: It is not enough to make all drapes, because you need 240 ft of material and the store only has 18 ft.