Multiple Choice Question

Jen has planted flowers in

of her garden as shown below.

A rectangle is divided into 3 parts and one part is shaded.

Which shape has a shaded part(s) that is equal to the fraction of planted flowers in Jen's garden?

A.
A rectangle is divided into 6 parts and 2 parts are shaded.

B.
A rectangle is divided into 4 parts and 2 parts are shaded.

C.
A rectangle is divided into 8 parts and 3 parts are shaded.

D.
A rectangle is divided into 4 parts and one part is shaded.

1 answer

To determine which shape has a shaded part equal to the fraction of the planted flowers in Jen's garden, we need to compare the fractions represented by each option.

First, since Jen's garden is represented as 1 part shaded in a rectangle divided into 3 parts, this means that the fraction of planted flowers is \( \frac{1}{3} \).

Next, let's analyze the options:

A. A rectangle is divided into 6 parts and 2 parts are shaded.

  • Shaded fraction: \( \frac{2}{6} = \frac{1}{3} \)

B. A rectangle is divided into 4 parts and 2 parts are shaded.

  • Shaded fraction: \( \frac{2}{4} = \frac{1}{2} \)

C. A rectangle is divided into 8 parts and 3 parts are shaded.

  • Shaded fraction: \( \frac{3}{8} \)

D. A rectangle is divided into 4 parts and one part is shaded.

  • Shaded fraction: \( \frac{1}{4} \)

Now, let's identify which fraction equals \( \frac{1}{3} \):

  • Option A has a shaded fraction of \( \frac{1}{3} \).
  • Options B, C, and D do not equal \( \frac{1}{3} \).

Therefore, the correct answer is:

A. A rectangle is divided into 6 parts and 2 parts are shaded.

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