Barb is going to cover a rectangular area 8 feet by 10 feet with rectangular paving blocks that are 4 inches by 8 inches by 2 inches to make a flat patio. What is the minimum number of paving blocks she will need if all the paving blocks will face the same direction?

(Note: Barb will not cut any of the paving block.)

A. 80
B. 360
C. 601
D. 960
E. 1,213

8 ft = 96 inches

10 ft = 120 inches

96 / 4 = 24
120 / 8 = 15

24 * 15 = 360 blocks

You're welcome. The key, as you see, was to convert feet to inches.

To find the minimum number of paving blocks Barb will need, we need to calculate the total area of the rectangular space she wants to cover and then divide it by the area of each paving block.

First, let's convert all the measurements to a consistent unit. Since the width and length of the rectangular area are given in feet and the dimensions of the paving block are given in inches, it would be easier to work with a single unit. Let's convert everything to inches.

The area of the rectangular space is given by the product of its width and length: 8 feet * 12 inches/foot * 10 feet * 12 inches/foot = 8 * 12 * 10 * 12 square inches.

The area of each paving block is given by the product of its length and width: 4 inches * 8 inches = 4 * 8 square inches.

To determine the minimum number of paving blocks needed, we divide the total area of the rectangular space by the area of each paving block:

(8 * 12 * 10 * 12 square inches) / (4 * 8 square inches).

Now, let's simplify the expression:

(8 * 12 * 10 * 12) / (4 * 8),

= (8 * 10 * 12 * 12) / (4 * 8),

= (2 * 10 * 12 * 12) / (1 * 2 * 4),

= 10 * 12 * 12 / 4,

= 120 * 12 / 4,

= 120 * 3,

= 360.

Therefore, the minimum number of paving blocks Barb will need is 360.

The correct answer is B. 360.

Thank you so much Ms. Sue. This question was confusing. Two times I kept getting 106.