Question

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

Explanation:

Step1: Identify base and height

From the graph, the base of triangle LMN (the horizontal side) is the distance between M and N. The coordinates of M are (-1,-4) and N are (3,-4), so the base length $b = |3 - (-1)|=4$. The height (the vertical distance from the opposite vertex L to the base MN) is the distance from L(-1,2) to the line $y = - 4$, so the height $h=|2-(-4)| = 6$.

Step2: Apply area formula

The area formula for a triangle is $A=\frac{1}{2}bh$. Substitute $b = 4$ and $h = 6$ into the formula: $A=\frac{1}{2}\times4\times6$.
$A = 12$.

Answer:

12 square units