Question

1. the lengths of three sides of a triangle are 2x + \frac{1}{5} feet, 4x + \frac{1}{2} feet, and x + \frac{1}{5}. what is the perimeter of the triangle? use the drop - down menu to complete the answer. the perimeter of the triangle is feet.

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is the sum of the lengths of its sides. So $P=(2x + \frac{1}{5})+(4x+\frac{1}{2})+(x+\frac{1}{5})$.

Step2: Combine like - terms of $x$

Combining the $x$ terms: $2x+4x + x=(2 + 4+1)x=7x$.

Step3: Combine constant terms

Combining the constant terms: $\frac{1}{5}+\frac{1}{2}+\frac{1}{5}=\frac{2 + 5+2}{10}=\frac{9}{10}$.

Step4: Write the perimeter expression

The perimeter $P = 7x+\frac{9}{10}$.

Answer:

$7x+\frac{9}{10}$