Question

Jim's backyard is a rectangle that is 16 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 with sod?

Answer 1

93 pieces

Explanation:

To cover his backyard with sod, he needs to cover the area of the backyard.

His backyard is a rectangle, and area of a rectangle is given as:

Where,

is the length, and

is the width

So, the area of Jim's backyard is square yards.

The area of each sods are solved using the area of the rectangle formula. So we have square yards as the area of each sod.

To find HOW MANY of these sods we would need to cover the whole backyard, we divide the backyard area by each sod area:

Since, fractional sods can't be bought, Jim has to buy 93 sods to cover his backyard.