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Lynna [10]
1 year ago
8

Jim's backyard is a rectangular that is 15 5/6 yards long and 10 2/5 yards wide. Jim buys sod in pieces that are 1 1/3 yards lon

g and 1 1/3 yards wide. How many pieces of sod will Jim need to but to cover his backyard with sod.
Mathematics
1 answer:
Deffense [45]1 year ago
5 0

The number of pieces of sod will Jim need to cover his backyard with sod is 4 pieces.

<h3>What is termed as the unitary method?</h3>
  • The unitary method is a process that determines the value of a single unit from the value of multiple units, as well as the value of multiple units from of the value of a single unit.

For the given question;

The backyard of Jim is in the shape of the rectangle.

The dimension of the yards are in given in mixed fraction, convert that in improper fraction as;

  • Length : 15 5/6 yards = 95/6 yards
  • Width : 10 2/5 yards = 52/5 yards

The area of the rectangle yard is;

Area = length x width

Area = 95/6 x 52/5

Area = 76 sq. yd.

The dimension of the sod in pieces are -

  • Length :  1 1/3 yards
  • Width :  1 1/3 yards

Area of each sod is -

Area = length x width

Area = 11/3 x 11/3

Area = 121/6 sq. yd.

Thus, the total umber of the sods required for the yard is;

Number = 76 sq. yd. /  121/6 sq. yd.

Number = 3.76 ≈ 4

Thus, the number of pieces of sod will Jim need to cover his backyard with sod is 4 pieces.

To know more about the unitary method, here

brainly.com/question/24587372

#SPJ10

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