Question

what is the area of the shaded rectangle? 1 1/2 in. 1 1/4 in. 5 2/8 in.² 2 10/16 in.² 1 3/16 in.² 1 5/8 in.²

Explanation:

Step1: Convert mixed - numbers to improper fractions

$1\frac{1}{2}=\frac{1\times2 + 1}{2}=\frac{3}{2}$ and $1\frac{1}{4}=\frac{1\times4+1}{4}=\frac{5}{4}$

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. So $A=\frac{3}{2}\times\frac{5}{4}$

Step3: Multiply the fractions

$\frac{3}{2}\times\frac{5}{4}=\frac{3\times5}{2\times4}=\frac{15}{8}$

Step4: Convert the improper fraction to a mixed - number

$\frac{15}{8}=1\frac{7}{8}$

Answer:

$1\frac{7}{8}\text{ in.}^2$ (Note: There is an error in the given options as the correct answer $1\frac{7}{8}$ is not among them)