Question

find the area of triangle hmk in square units. show your reasoning.

Explanation:

Step1: Find area of rectangle

Assume each grid is 1 unit. The rectangle enclosing triangle HMK has length 4 and width 6. Area of rectangle: $4\times6 = 24$.

Step2: Find area of three right triangles

• Triangle 1: Base=2, Height=6. Area: $\frac{1}{2}\times2\times6 = 6$.
• Triangle 2: Base=2, Height=4. Area: $\frac{1}{2}\times2\times4 = 4$.
• Triangle 3: Base=4, Height=2. Area: $\frac{1}{2}\times4\times2 = 4$.

Step3: Subtract areas of triangles from rectangle

Area of HMK = $24 - 6 - 4 - 4 = 10$.

Answer:

10