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

Question

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

Explanation:

Step1: Convert mixed - numbers to improper fractions

$2\frac{1}{3}=\frac{2\times3 + 1}{3}=\frac{7}{3}$; $1\frac{2}{3}=\frac{1\times3+2}{3}=\frac{5}{3}$

Step2: Use the area formula for a rectangle

The area formula of a rectangle is $A = l\times w$. Here, $l=\frac{7}{3}$ yd and $w = \frac{5}{3}$ yd. So $A=\frac{7}{3}\times\frac{5}{3}=\frac{7\times5}{3\times3}=\frac{35}{9}$

Answer:

$\frac{35}{9}$