Question

Jim's backyard is a rectangle that is 15 5/6 yards long and 10 2/5 yards wide. Jim buys sods in pieces that are 1 1/3 yards long and 1 1/3 yards wide. How many pieces of sod will Jim need to buy to cover his backyard with sod?

Answer 1

We are given

Jim's backyard:

Length is

`L=15(5)/(6) =(95)/(6) yards`

width is

`W=10(2)/(5) =(52)/(5) yards`

Since, this is rectangle

so, we can find area of rectangle

`A=L*W`

`A=((95)/(6))*((52)/(5))`

`A=(494)/(3) yard^2`

Area of one sod:

length is

`l=1(1)/(3) =(4)/(3) yards`

width is

`w=1(1)/(3) =(4)/(3) yards`

Since, it is rectangle in shape

so,

`Area=l*w`

`A=(4)/(3)*(4)/(3)`

`A=(16)/(9)yard^2`

Number of pieces of sod:

we can use formula

Number of pieces of sod = (area of Jim's backyard)/(area of one sod)

`N=((494)/(3) )/((16)/(9) )`

now, we can simplify it

`N=(741)/(8)` pieces need ..............Answer