Question

a triangle has side lengths of (8w + 8x) centimeters, (3w + 10y) centimeters, and (4y + 8x) centimeters. which expression represents the perimeter, in centimeters, of the triangle? answer attempt 1 out of 2 13wy + 16wx + 12xy 16x + 11w + 14y 15wy + 26xy 11w + 18x + 12y

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is the sum of its side - lengths. So $P=(8w + 8x)+(3w + 10y)+(4y + 8x)$.

Step2: Remove parentheses

$P = 8w+8x + 3w+10y+4y + 8x$.

Step3: Combine like - terms

For the $w$ terms: $8w+3w = 11w$. For the $x$ terms: $8x+8x=16x$. For the $y$ terms: $10y + 4y=14y$. So $P=11w + 16x+14y$.

Answer:

B. $16x + 11w+14y$