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Derek is going to lay grass in a rectangular space that measures 8 1/3 by 3 1/2 feet. Find the total area that will be covered by grass?

User Lequan
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1 Answer

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Final answer:

The area of the rectangular space to be covered by grass is calculated by multiplying the length (8 1/3 feet) by the width (3 1/2 feet), resulting in an area of 29 1/6 square feet.

Step-by-step explanation:

The student is asking how to calculate the area of a rectangular space which will be covered by grass. The dimensions of the space are given as 8 1/3 feet by 3 1/2 feet. To find the area, we multiply the length by the width.

Firstly, we convert the mixed numbers to improper fractions:

  1. 8 1/3 feet is equivalent to (8 x 3 + 1)/3 = 25/3 feet.
  2. 3 1/2 feet is equivalent to (3 x 2 + 1)/2 = 7/2 feet.

Next, we multiply these two fractions to calculate the area:

Area = (25/3) * (7/2) feet2

Area = (25 * 7) / (3 * 2) square feet

Area = 175/6 square feet

Area = 29 1/6 square feet

Therefore, the total area that will be covered by grass is 29 1/6 square feet.

User Phillip Godzin
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