Jim's backyard is a rectangle that is 18 5 6 yards long and 10 2 5 yards wide. jim buys sod in pieces that are 1 1 3 yards long and 1 1 3 yards wide. how many whole pieces of sod will jim need to buy to cover his backyard with sod? jim will need to buy pieces of sod to cover his backyard with sod

Jim will need to buy 149 pieces of sod to cover his backyard.

Explanation:

To know how many pieces of sod will Jim need is necess ary to follow a few simple steps:

1st) Calculate the backyard surface:

To calculate the backyard surface it is necessary to multiply the length by the width. The final result will have units of square yards.

2nd) Calculate the sod piece surface:

As we did it with the the backyard surface, to calculate the sod piece surface it is necessary to multiply the length by the width, and the result will have units of square yards too.

3rd) Calculate the number of pieces of sod by dividing the backyard surface by sod piece surface:

Finally, it is necessary to divide the backyard surface by sod piece surface to know how many pieces of sod with 12769 yd² surface will be necessary to cover the backyard.

The final result has no units because it is just a number of pieces. Then, we notice that the result it it around 148,9 and we roun it to 149 so Jim can buy a whole number of pieces.

* Check the step by step calculus in the attachment.