Question

how can we calculate the area of the striped rectangle? choose 1 answer: (a) $\frac{1}{27} \times \frac{1}{27}$ (b) $\frac{1}{9} \times \frac{1}{3}$ (c) $\frac{1}{3} \times \frac{1}{27}$

Explanation:

Step1: Analyze the fraction of rows and columns

Suppose the large rectangle is divided into 3 rows and 9 columns. The striped rectangle is 1 - row out of 3 rows and 1 - column out of 9 columns.

Step2: Recall area formula for fraction - based rectangles

The area of a rectangle in terms of fractions of a larger rectangle is the product of the fraction of the length and the fraction of the width. The fraction of the length of the striped rectangle is $\frac{1}{3}$ and the fraction of the width is $\frac{1}{9}$.

Answer:

B. $\frac{1}{9}\times\frac{1}{3}$