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Question

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anonymous · Answer

what is this $a$ and $b$ motif? isn't it good enough to answer the question ?

anonymous · Answer

total area is $100$ that is your denominator
find the area of the favorable outcome and divide

anonymous · Answer

draw a picture

anonymous · Answer

with two parallel lines $8=x+2y$ and $x+2y=20$ enclosed in the square
find the area between these lines
that is your numerator

anonymous · Answer

maybe there is a snappier way to do this, but i don't know it

tkhunny · Answer

It is time to upgrade your skills and your attitude.  Get good at it and quit telling yourself you are not good at it.

8 ≤ x+2y ≤ 20 

One approach might jet be to draw some lines in your square.

8 - x ≤ 2y ≤ 20 - x 

4 - x/2 ≤ y ≤ 10 - x/2

Draw those two inequalities.

tkhunny · Answer

No integration required, here.  This can be a simple geometry problem.

tkhunny · Answer

Personally, I would subtract the two triangular regions, rather than try to calculate the area of the oblique swath.

And, thank you for taking my encouragement well!