Question

1. 2\frac{2}{3} yd 1\frac{4}{5} yd 5) 8 in \frac{15}{2} in area = 6) \frac{14}{5} ft 10 ft area =

Explanation:

Step1: Recall rectangle area formula

$A = l\times w$ (where $A$ is area, $l$ is length, $w$ is width)

Step2: Calculate area for 4)

First convert mixed - numbers to improper fractions. $1\frac{4}{5}=\frac{1\times5 + 4}{5}=\frac{9}{5}$ and $2\frac{2}{3}=\frac{2\times3+ 2}{3}=\frac{8}{3}$. Then $A_4=\frac{9}{5}\times\frac{8}{3}=\frac{9\times8}{5\times3}=\frac{72}{15}=\frac{24}{5}=4\frac{4}{5}$ square yards.

Step3: Calculate area for 5)

$A_5 = 8\times\frac{15}{2}=8\times7.5 = 60$ square inches.

Step4: Calculate area for 6)

$A_6=10\times\frac{14}{5}=\frac{10\times14}{5}=28$ square feet.

Answer:

1. $4\frac{4}{5}$ square yards
2. 60 square inches
3. 28 square feet