Question

what is the area of triangle lmn? 12 square units 14 square units 15 square units 24 square units

Explanation:

Step1: Find the base and height

From the graph, the base \(MN\) of \(\triangle LMN\) is \(4\) units (from \(x = - 1\) to \(x = 3\) for \(y=-4\)), and the height is \(6\) units (from \(y = 2\) to \(y=-4\)).

Step2: Use the area formula for a triangle

The area formula for a triangle is \(A=\frac{1}{2}\times base\times height\). Substitute \(base = 4\) and \(height = 6\) into the formula: \(A=\frac{1}{2}\times4\times6\).
Calculate \(\frac{1}{2}\times4\times6=( \frac{1}{2}\times4)\times6 = 2\times6=12\).

Answer:

12 square units