Question

what is the area of the shaded rectangle? 3 1/3 in. 1 2/3 in. 3 2/9 in.² 5 5/9 in.² 5 1/3 in.² 16 2/3 in.²

Explanation:

Step1: Convert mixed - numbers to improper fractions

$3\frac{1}{3}=\frac{3\times3 + 1}{3}=\frac{10}{3}$ and $1\frac{2}{3}=\frac{1\times3+2}{3}=\frac{5}{3}$

Step2: Use the area formula for a rectangle

The area formula of a rectangle is $A = l\times w$, where $l$ is the length and $w$ is the width. Here, $l=\frac{10}{3}$ and $w = \frac{5}{3}$. So $A=\frac{10}{3}\times\frac{5}{3}=\frac{50}{9}$

Step3: Convert the improper fraction back to a mixed - number

$\frac{50}{9}=5\frac{5}{9}$

Answer:

$5\frac{5}{9}$ in.$^{2}$