Question

a plot of land is in the shape of a triangle. if one side is x meters, a second side is (5x - 3) meters and a third side is (7x - 6) meters, express the perimeter of the lot as a simplified expression in x. the perimeter of the lot is ()

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is the sum of the lengths of its three sides. So $P=x+(5x - 3)+(7x-6)$.

Step2: Combine like - terms

First, combine the $x$ terms: $x + 5x+7x=(1 + 5+7)x=13x$. Then combine the constant terms: $-3+( - 6)=-3 - 6=-9$.
So the perimeter $P = 13x-9$.

Answer:

$13x - 9$