Question

1. what is the area of the rectangle? formula: __ plug - in values: area: __ 2 1/2 in

Explanation:

Step1: Recall area formula

The formula for the area of a rectangle is $A = l\times w$, where $l$ is the length and $w$ is the width.

Step2: Identify length and width

Let the length $l = 5\frac{1}{3}$ inches and the width $w=2\frac{1}{2}$ inches. First, convert the mixed - numbers to improper fractions. $5\frac{1}{3}=\frac{5\times3 + 1}{3}=\frac{16}{3}$ and $2\frac{1}{2}=\frac{2\times2+1}{2}=\frac{5}{2}$.

Step3: Plug in values

$A=\frac{16}{3}\times\frac{5}{2}$.

Step4: Calculate the product

$\frac{16}{3}\times\frac{5}{2}=\frac{16\times5}{3\times2}=\frac{80}{6}=\frac{40}{3}=13\frac{1}{3}$ square inches.

Answer:

$13\frac{1}{3}$ square inches