Jim's lawn is a 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 buy to cover his lawn with sod?
answer it
93 pieces
Me no nos i thought you would answer for me.
yes 93
93 pieces, some of the answers are in back of go math book
answer 93
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To find out how many pieces of sod Jim will need to cover his lawn, we need to divide the area of his lawn by the area of each piece of sod.
First, let's convert the dimensions of Jim's lawn into improper fractions:
Length = 15 5/6 yards = (6 * 15 + 5) / 6 = 95/6 yards
Width = 10 2/5 yards = (5 * 10 + 2) / 5 = 52/5 yards
Next, let's find the area of Jim's lawn by multiplying the length and width:
Area = (Length) * (Width) = (95/6) * (52/5)
To multiply fractions, we multiply the numerators together to get the new numerator and multiply the denominators together to get the new denominator:
Area = (95/6) * (52/5) = (95 * 52) / (6 * 5) = 4940 / 30
Now, let's simplify the fraction:
4940 / 30 = (494 * 10) / (3 * 10) = 494 / 3
The area of Jim's lawn is 494/3 square yards.
Next, let's find the area of each piece of sod:
Length = Width = 1 1/3 yards = (3 * 1 + 1) / 3 = 4/3 yards
The area of each piece of sod is (4/3) * (4/3) = 16/9 square yards.
Finally, let's divide the area of Jim's lawn by the area of each piece of sod to find out how many pieces of sod Jim will need:
Number of pieces = (Area of Jim's lawn) / (Area of each piece of sod)
= (494/3) / (16/9)
To divide fractions, we multiply the dividend by the reciprocal of the divisor:
Number of pieces = (494/3) * (9/16) = (494 * 9) / (3 * 16) = 4458 / 48
Now, let's simplify the fraction:
4458 / 48 = (371 * 12) / (4 * 12) = 371 / 4
Therefore, Jim will need to buy 371/4 pieces of sod to cover his lawn completely.
First find out the area of Jim’s lawn by multiplying 15 5/6 by 10 2/5. Then find the area of the sod piece. Divide the area of Jim’s lawn by the area of the sod piece and then you’re left with the number of sod pieces Jim needs to buy.
Just note that I haven’t solved it, so it might not be correct.
Howard is mathematically correct and gets an answer of
92.625 pieces, so you will need 83 pieces
But... that will leave a real piece-meal of sod pieces
in the last row and column
Each sod piece is 1 1/3 yards square.
So each row will need 15 5/6 ÷ 1 1/3 or 11 7/8 pieces
so practically you will need 12 pieces to cover the lengths
For the width you will need 10 2/5 ÷ 1 1/3 or 7 4/5 pieces
so practically you will need 8 pieces to cover the widths.
I would buy 96 pieces of sod , with little pieces of trimming left over.