Question

a plot of land is in the shape of a triangle. if one side is x meters, a second side is (4x - 3) meters and a third side is (7x - 5) meters, express the perimeter of the lot as a simplified expression in x.

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is the sum of the lengths of its sides. So $P=x+(4x - 3)+(7x - 5)$.

Step2: Remove parentheses

$P=x + 4x-3+7x - 5$.

Step3: Combine like - terms

Combine the $x$ terms: $x+4x + 7x=(1 + 4+7)x=12x$, and combine the constant terms: $-3-5=-8$. So $P = 12x-8$.

Answer:

$12x - 8$