Question

find the perimeter of the following rectangle. give your answer in simplest radical form.
show your work here
hint: to add the square - root symbol √, use \sqrt\.
enter your answer

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, $l = 5\sqrt{7}$ and $w=2\sqrt{5}$.

Step2: Substitute values

$P = 2(5\sqrt{7}+2\sqrt{5})$.

Step3: Distribute 2

$P = 10\sqrt{7}+4\sqrt{5}$.

Answer:

$10\sqrt{7}+4\sqrt{5}$