Marco wants to put soil in his garden shown below. If soil comes in bags that fill 2 square yards each, how many bags of soil should Marco buy? Hint: you may have some leftover soil.

A garden with a length of 10 yards and a width of two-thirds yards.

3 answers

The area of the garden is 10 yards x (2/3) yards = 6.67 square yards.

To find out how many bags of soil Marco needs, we need to divide the total area of the garden by the area each bag of soil can cover:

6.67 square yards / 2 square yards per bag = 3.335 bags

Since you cannot buy a fraction of a bag, Marco should buy at least 4 bags of soil.
Find the area of the rectangle by multiplying the side lengths. 5/12 and 4/3
The area of the rectangle is:

(5/12) x (4/3) = (5 x 4) / (12 x 3) = 20/36

Now, we simplify this fraction. Both numerator and denominator can be divided by their greatest common factor, which is 4:

20/36 = (5 x 4) / (9 x 4) = 5/9

Therefore, the area of the rectangle is 5/9 square units.