Question

The following question has two parts. First, answer part A. Then, answer part B.

Gabriel's father has a garden in the back yard. The dimensions of the garden are shown here.

A green rectangle is shown. The width is labeled as 2 and two-thirds feet. The length is labeled as 7 and three-fourths feet.

Part A
Calculate the area of the garden. Show at least one step before you show your solution.

(2 points)
8/3 × 31/4 = 248/12 = 62/3 = 20 2/3 square feet so the answer is


Part B
You found the area of the garden in Part A. Explain briefly, without doing any calculations, how you would find 56
of this area.



(2 points)

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Answer 1

Part A
Convert to improper fractions and multiply:
2 2/3 = 8/3 and 7 3/4 = 31/4, so area = (8/3) × (31/4) = 248/12 = 62/3 = 20 2/3 square feet.

Part B
To find 5/6 of the area, multiply the area by 5/6. (Equivalently, divide the area by 6 then multiply the result by 5.)