Question

what is the perimeter? if necessary, round to the nearest tenth. meters

Explanation:

Step1: Find the hypotenuse $c$ using Pythagorean theorem

By the Pythagorean theorem $a^{2}+b^{2}=c^{2}$, where $a = 1$ and $b = 4$. So $c=\sqrt{1^{2}+4^{2}}=\sqrt{1 + 16}=\sqrt{17}\approx4.1$.

Step2: Calculate the perimeter $P$

The perimeter of a triangle is $P=a + b + c$. Here $a = 1$, $b = 4$, and $c\approx4.1$. So $P=1+4 + 4.1=9.1$.

Answer:

$9.1$