Question

find the area of the shaded rectangle. 2\frac{3}{4} in. \frac{1}{2} in. 2\frac{3}{16} in.^2 1\frac{6}{16} in.^2 1\frac{9}{16} in.^2 2\frac{6}{16} in.^2

Explanation:

Step1: Convert mixed - number to improper fraction

The length of the rectangle is $2\frac{3}{4}=\frac{2\times4 + 3}{4}=\frac{11}{4}$ inches and the width is $\frac{1}{2}$ inch.

Step2: Use area formula for rectangle

The area formula of a rectangle is $A = l\times w$, where $l$ is the length and $w$ is the width. So $A=\frac{11}{4}\times\frac{1}{2}=\frac{11}{8}$.

Step3: Convert result to mixed - number

$\frac{11}{8}=1\frac{3}{8}=1\frac{6}{16}$ square inches.

Answer:

$1\frac{6}{16}\text{ in.}^2$