Question

Some pleated draperies must be twice as wide as the window they cover. how many square yards of material are needed to cover this kind of window 2 ft. wide and 3 ft. long? 12 4 1 1/3

Answer 1

Option C is correct.

`1(1)/(3)` square yards

Explanation:

Use conversion:

1 ft = 3 yards.

As per the statement:

Some pleated draperies must be twice as wide as the window they cover.

it is also given that window 2 ft. wide and 3 ft. long

The draperies must be 4 ft wide =
`(4)/(3)` yard (twice the window width) and 1 yards long

Area of material needed to cover the window=
`l * w`

where w is the wide and l is the length respectively.

then;

Area of material needed to cover the window =
`(4)/(3) \cdot 1 = (4)/(3) = 1(1)/(3)` square yards.

Therefore,
`1(1)/(3)` square yards of material are needed to cover this kind of window 2 ft. wide and 3 ft. long.

.

Answer 2

The window is 2/3 yd by 1 yd, so its area is
.. area = length*width = (2/3 yd)*(1 yd) = 2/3 yd^2

Double that amount of material would be 4/3 yd^2 = 1 1/3 yd^2.