Question

find the area of the shaded rectangle. 2\frac{1}{4} yd \frac{3}{4} yd yd^{2}

Explanation:

Step1: Convert mixed - number to improper fraction

$2\frac{1}{4}=\frac{2\times4 + 1}{4}=\frac{9}{4}$ yd.

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. Here, $l=\frac{9}{4}$ yd and $w = \frac{3}{4}$ yd. So $A=\frac{9}{4}\times\frac{3}{4}$.

Step3: Multiply the fractions

$\frac{9}{4}\times\frac{3}{4}=\frac{9\times3}{4\times4}=\frac{27}{16}$ yd².

Answer:

$\frac{27}{16}$