Question

If paver stone is 7.75 inches x 7.75 inches square and Each curb is 4.3 inches wide x 11.8 inches long. How do i count how many pavers and curbs depending on the length and width of my patio (in feet)?

Answer 1

Answer:

If your patio is L feet long and W feet wide, you need 24L/11.8 rounded to the nearest greater integer plus 2*(12W-8.6)/11.8 rounded to the nearest greater integer curbs and (12W-8.6)(12L-8.6)/60.06  rounded to the nearest greater integer pavers.

Step-by-step explanation:

Suppose your patio is L feet long and W feet wide.  

Recall that 1 feet = 12 inches, 1 squared feet = 144 squared inches

Step 1

Multiply L and W by 12, to get the length and width in inches.

Example: if your patio is 18 feet long and 12 feet wide, it would be 216 inches long and 144 inches wide.

Step 2

Compute the number of curbs needed to enclose the patio.

For the length we need 12L/11.8 rounded to the nearest greater integer on each side

Example: As your patio 216 inches long, you would need 216/11.8 = 19 curbs on each side, that is, 38 curbs.

Now, the width of the patio has been reduced 4.3+4.3=8.6 inches.  

So you need (12W-8.6)/11.8 rounded to the nearest greater integer on each side.

Example: As your patio is now 144-8.6 = 135.4 inches wide, you need 135.4/11.8 = 12 curbs on each side. That is, 24 curbs

Add the two figures obtained to compute the number of curbs.

Example: You need 38+24 curbs to enclose your patio.

Step 3

Compute the area of the patio after being enclosed  

New width 12W-8.6, new length 12L-8.6

Multiply the numbers to obtain the area in squared inches.

Area: (12W-8.6)(12L-8.6)

Example: Your patio now has a new area (216-8.6)(144-8.6)=28,081.96 squared inches.

Step 4

Compute the number of pavers required.  

As each paver is 7.75*7.75=60.06 squared inches, you need  

(12W-8.6)(12L-8.6)/60.06  rounded to the nearest greater integer pavers.

Example: The number of pavers needed for your patio is

28,081.96/60.06 = 468 paver stones.