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 his backyard with sod?
plese respond or answer
thats kinda rude ok?
To calculate the number of whole pieces of sod Jim will need to buy, we need to determine the area of his backyard and the area of a single piece of sod.
First, let's find the area of Jim's backyard by multiplying its length by its width:
Area of backyard = Length × Width
Length = 16 yards
Width = 10 yards
Area of backyard = 16 yards × 10 yards = 160 square yards
Next, let's find the area of a single piece of sod:
Length of sod piece = 1 1/3 yards
Width of sod piece = 1 1/3 yards
Area of sod piece = Length × Width
To multiply mixed numbers, we convert them to improper fractions:
1 1/3 = (3 × 1 + 1) / 3 = 4/3
Area of sod piece = 4/3 yards × 4/3 yards = 16/9 square yards
Now, let's calculate the number of whole pieces of sod Jim will need:
Number of sod pieces = Area of backyard / Area of sod piece
160 square yards / (16/9 square yards) = 160 square yards × (9/16 square yards) = 90 sod pieces
Therefore, Jim will need to buy 90 whole pieces of sod to cover his backyard.
You posted a question. Wait for a response. Whining about it will not produce help any sooner. And geez, learn how to type fractions
divide the area of the yard by the area of one piece of sod
((16 5/6)*(10 2/5)) ÷ ((1 1/3)*(1 1/3)) = 98.475
so, 99 pieces should do the job
but, if you don't want to use the scraps,
(16 5/6) ÷ (1 1/3) = 12 5/8
(10 2/5) ÷ (1 1/3) = 7 4/5
so the yard will require 13*8 = 104 pieces