what is the area of triangle lmn?\n12 square units\n14 square units\n15 square units\n24 square units

what is the area of triangle lmn?\n12 square units\n14 square units\n15 square units\n24 square units

what is the area of triangle lmn?\n12 square units\n14 square units\n15 square units\n24 square units

Answer

Explanation:

Step1: Identify base and height

From the graph, the base of triangle LMN (distance between M and N) is 5 units (from x = - 1 to x = 4), and the height (perpendicular distance from L to the line MN) is 4.8 units (from y = 2 to y=-4).

Step2: Apply area formula

The area formula for a triangle is $A=\frac{1}{2}\times base\times height$. Substitute base = 5 and height = 4.8 into the formula: $A=\frac{1}{2}\times5\times4.8$.

Step3: Calculate the area

$A = 12$ square units.

Answer:

12 square units