Question

find the area of the shaded rectangle. 3\frac{1}{4} ft 1\frac{1}{4} ft 3\frac{1}{16} ft² 4\frac{1}{16} ft² 8\frac{2}{16} ft² 4\frac{4}{16} ft²

Explanation:

Step1: Convert mixed - numbers to improper fractions

$1\frac{1}{4}=\frac{1\times4 + 1}{4}=\frac{5}{4}$ and $3\frac{1}{4}=\frac{3\times4+1}{4}=\frac{13}{4}$

Step2: Use the area formula for a rectangle

The area formula for a rectangle is $A = l\times w$, where $l$ is the length and $w$ is the width. Here, $A=\frac{5}{4}\times\frac{13}{4}$

Step3: Multiply the fractions

$\frac{5}{4}\times\frac{13}{4}=\frac{5\times13}{4\times4}=\frac{65}{16}$

Step4: Convert the improper fraction back to a mixed - number

$\frac{65}{16}=4\frac{1}{16}$

Answer:

$4\frac{1}{16}\text{ ft}^2$