A vacant lot in a housing development is in the shape of a triangle. The smallest side is 31 feet less than the middle side and the larger side is 15 feet less than 4 times the middle side. Find a function P that represents the perimeter in terms of x, where x represents the measure of the middle side.
A) P(x) = 6x - 46
B) P(x) = 4x - 46
C) P(x) = 5x - 46
D) P(x) = 6x + 16

Question

Quizplus · Accepted Answer

The perimeter P is the sum of all sides: middle side (x), smallest side (x - 31), and largest side (4x - 15). So, P(x) = x + (x - 31) + (4x - 15) = 6x - 46.

A Vacant Lot in a Housing Development Is in the Shape