The first step is to convert the rectangle to inches.
Since the rectangle is 4 ft by 6 ft, the dimensions of the rectangle will be 48 inch by 72 inch.
We have been asked to find out how many square of side 0.5 inch are needed to cover this rectangle.

The area covered by the rectangle is 48*72 inch and we will be needing x squares to cover this rectangle.

\(0.5*0.5*x = 48*72\)

\(x = \frac{48}{0.5} * \frac{72}{0.5} = 96 * 144 = 13824\)(Option D)
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You are right length > width. Edited.
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Step one

Convert the units

1 foot = 12 inches
6 feet = 6 * 12 = 132 inches
4feet = 4 * 12 = 48 inches

Step two

Create the rectangle

W = \(48/(1/2)= 96\)
L = \(132/(1/2)= 264\)

Third step

Just multiply the units digits

6*4 = 24 ... 13,824

(A) 24 ... discard ---> too small
(B) 96
(C) 3,456
(D) 13,824
(E) 14,266

D