Question

find the area of the shaded rectangle. 1\frac{1}{3} in. 2\frac{2}{3} in. in.²

Explanation:

Step1: Convert mixed - numbers to improper fractions

$1\frac{1}{3}=\frac{1\times3 + 1}{3}=\frac{4}{3}$; $2\frac{2}{3}=\frac{2\times3+2}{3}=\frac{8}{3}$

Step2: Use the area formula for a rectangle

The area formula of a rectangle is $A = l\times w$. Here, $l=\frac{8}{3}$ in and $w = \frac{4}{3}$ in. So $A=\frac{8}{3}\times\frac{4}{3}=\frac{32}{9}=3\frac{5}{9}$ in²

Answer:

$3\frac{5}{9}$