Question

how can we describe the area of the striped rectangle? choose 1 answer: a $\frac{4}{10}$ of 2 b $\frac{4}{10}$ of $\frac{2}{3}$ c $\frac{2}{2}$ of 4

Explanation:

Step1: Analyze the whole - rectangle division

The whole rectangle is divided into 3 equal - height horizontal parts, and the part we are interested in is composed of 2 of these horizontal parts. So the vertical fraction of the part we care about is $\frac{2}{3}$.

Step2: Analyze the horizontal division of the part

The part (the upper two - thirds of the rectangle) is divided into 10 equal - width vertical parts, and the striped area is 4 of these vertical parts. So the horizontal fraction of the striped area within the upper two - thirds is $\frac{4}{10}$.

Step3: Determine the area of the striped rectangle

The area of the striped rectangle can be described as the fraction of the horizontal part within the fraction of the vertical part. That is $\frac{4}{10}$ of $\frac{2}{3}$.

Answer:

B. $\frac{4}{10}$ of $\frac{2}{3}$