Apoint is selected at random inside the given figure.

what is the probability the point will be in the region labeled d?

enter the answer as a fraction in simplest form.

First we need the area of the whole shape (A=l*w)
A:A=7*5 or 35 (7 because you add 3 and 4)
B:A=3*4 or 12
C:A=4*4 or 16
D:A=3*9 or 27 (9 because you add 5 and 4)

So the whole area is 35+12+16+27 = 90

Then we do the part divided by the whole to find probability
=27/90 which can be simplified to 3/10

Hope this helps