Question

homework a.2.5 score: 7/11 answered: 7/11 question 8 4/5 1/5 find the perimeter of the rectangle pictured above. give your answer as a reduced mixed number. question help: post to forum

Explanation:

Step1: Recall perimeter formula

The perimeter formula for a rectangle is $P = 2(l + w)$, where $l$ is the length and $w$ is the width. Here, $l=\frac{4}{5}$ and $w = \frac{1}{5}$.

Step2: Substitute values into formula

$P=2(\frac{4}{5}+\frac{1}{5})$.

Step3: Simplify inside parentheses

$\frac{4}{5}+\frac{1}{5}=\frac{4 + 1}{5}=\frac{5}{5}=1$.

Step4: Multiply by 2

$P = 2\times1=2$. Since we need a mixed - number (even though 2 can be written as $2\frac{0}{1}$), we can rewrite it as $2=\ 2\frac{0}{1}$. But if we consider the general form of a non - improper result, we note that $2$ is an integer and can be written as $2 = 1\frac{1}{1}$ in a non - standard mixed - number form (usually we just write 2). The most appropriate reduced mixed - number form considering the context is $2 = 2\frac{0}{1}$.

Answer:

$2\frac{0}{1}$