Jim's lawn is rectangle that is 15 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 pieces of sod will Jim need to cover his lawn with sod

What we know:

Yard is a rectangle shape

length=15 5/6 yd

width = 10 2/5 yd

Sod is 1 1/3 yd by 1 1/3 yd

Area=l * w

What we need to find:

How many pieces of sod will Jim need to cover his lawn with sod?

Find area of yard

Area=15 5/6 * 10 2/5

=95/6 * 52/5 changed to improper fraction, easier to multiply

=4940/30 yd²

Find area of sod

Area=1 1/3 * 1 1/3

=4/3 * 4/3

=16/9 yd²

Now we divide area of lawn by area of sod.

Area of lawn/Area of sod

4940/30 : 16/9

4940/30 * 9/16=92 5/8

You will need 93 pieces of sod. We rounded up since we cannot purchase a part of a sod but only a whole.

To get the result we have to find area of rectangle and area of each piece. Then, we will have to divide area of rectangle by area of piece. Solve for it and you get 4784/30, which will equal 159.5. Now, you solve the area of piece, which will equal 1.8. Conclusively, we can divide A by a to get the result of 88.6. We'll have to simplify this because Jim cannot mow 0.6 of his yard. Therefore, it will be 89 or 87 pieces of sod.