So for this, you will be splitting up this image into 3 triangles, find their individual areas, and then add those areas up. For this, make line IL and JL. And also remember that the area of a triangle is A = 1/2bh
Starting with triangle JKL, by counting its height is 3 and its base is 5. Apply those to the equation and solve:
[tex] A=\frac{1}{2}*3*5\\\\ A=\frac{1}{2}*15\\\\ A=7.5 [/tex]
Next with Triangle JIL, its height is 3 and its base is 5.
[tex] A=\frac{1}{2}*3*5\\\\ A=\frac{1}{2}*15\\\\ A=7.5 [/tex]
Lastly, we have Triangle HIL, its base and height are 5. Apply to the equation and solve:
[tex] A=\frac{1}{2}*5*5\\\\ A=\frac{1}{2}*25\\\\ A=12.5 [/tex]
Now that we have all the individual areas, we can add them up:
[tex] 7.5+7.5+12.5=27.5 [/tex]
In short, the area of this image is 27.5 un^2.
