Question

Find the area of the image below:

Answer 1

27.5 square units

Answer 2

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:

`A=(1)/(2)*3*5\\\\ A=(1)/(2)*15\\\\ A=7.5`

Next with Triangle JIL, its height is 3 and its base is 5.

`A=(1)/(2)*3*5\\\\ A=(1)/(2)*15\\\\ A=7.5`

Lastly, we have Triangle HIL, its base and height are 5. Apply to the equation and solve:

`A=(1)/(2)*5*5\\\\ A=(1)/(2)*25\\\\ A=12.5`

Now that we have all the individual areas, we can add them up:

`7.5+7.5+12.5=27.5`

In short, the area of this image is 27.5 un^2.