If I have a patio that is 24 feet in length and 16 feet in width how many blocks will I need to cover the entire patio?

Question

Each block is square and has a length of 15.7 inches

 

Answer 1

If I have a patio that is 24 feet in length and 16 feet in width how many blocks will I need to cover the entire patio?Each block is square and has a length of 15.7 inches

 

The AREA of the patio is:

     24 ft * 16 ft

     (24*12) in * (16*12 ) in

     55296 in²      [note: you may find either ft² or in²]

 

The AREA of one block is:

   15.7 in * 15.7 in      [note: who measures in 1/10th of an inch??]

      246.49 in²

 

If this is a math problem and AREA is all that is important, then:

     55296/246.46 = 224.33 , so at least 225 blocks (always round UP to a real block) will be needed.

 

However, if this a real problem or you want to be much more practical:

   (24 ft)*(12 in/ft) = 288 in

   and 288/15.7 = 18.34, so 19 blocks will be needed in each row

 

   (16 ft)(12 in/ft) = 192 in

   and 192/15.7 = 12.22, so 13 blocks will be needed in each column

 

That makes 19*13= 247 blocks

 

Even more complicated, an excellent bricklayer can cut/break blocks so that the excess of one can be cut again to make up the amount needed for another (if the total cut/needed is less than 1 block).  This means:

   There can be 18*13 = 234 needing 1*19 (that takes only whole 10 blocks if cut twice, but the needed amount is 0.34 and 0.22 of a block, so three could be made from one block).

    So, 234 + 10 = 244 blocks

Answer 2

The area of the patio is 24' * 16' = 384ft².

 

Now, the dimensions of the square block are given in inches, so we can change them to ft: 15.7" = 15.7/12 ft. = 1.31 ft.

 

The area of each block, then, is 1.31 * 1.31 ft² = 1.71ft² (since each block is a square).

 

Now, all that remains to do is divide the total patio area by the area of each block.

 

384/1.71 = 224.33 blocks or 224 blocks.