Question

1. the three sides of a triangle are given as: side 1: (x + 1.5) inches side 2: (2x) inches side 3: (x + 3) inches. the total perimeter of the triangle is (30x) inches. which equation correctly represents this situation? (x + 2x+3x = 30x) (2(x + 1.5)+x + 3 = 30x) (x + 1.5+x + 3 = 30x) (x + 1.5+2x+x + 3 = 30x) clear all

Explanation:

Step1: Recall perimeter formula

The perimeter of a triangle is the sum of the lengths of its three - sides.

Step2: Add the side - lengths

The lengths of the three sides are \(x + 1.5\), \(2x\), and \(x+3\). So the sum of the side - lengths is \((x + 1.5)+2x+(x + 3)\).

Step3: Set equal to given perimeter

Since the perimeter is \(30x\), the correct equation is \(x + 1.5+2x+x + 3=30x\).

Answer:

\(x + 1.5+2x+x + 3=30x\)