#1**+2 **

First, cut up the triangle into smaller triangles of the same size like so:

Then, find the fraction of the shaded triangles/all triangles:

You will get an answer of 6/16, which simplifies to 3/8

Hope this helps! If I made a mistake please correct me :)

milkcloud Oct 20, 2019

#2**+3 **

That looks pretty cool Milkcloud, lets see if it I can validate it.

I let the perpendicular distance between each trapezium be 1 unit

The total area is 0.5*4a*4 = 8a units squared

The top triangle is 0.5*a*1 = 0.5a units squared

The middle trapezium area is (2a+3a)/2 *1 = 5a/2

The sum of the top triangle and the middle trapezium is a/2 + 5a/2 = 3a

The fraction of the whole figure this is is 3a / 8a = 3/8

So it seems your method works very nicely Milkcloud.

Melody Oct 20, 2019