A point is randomly selected on the grid. What is the probability that the point will be located in the shaded region? Give your answer as a fraction,

how big is the shaded region tell me that and i will edit my answer to the right one

Step-by-step explanation:

13/24

Step-by-step explanation:

I just did it happy holidays

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4