Can someone me with this! ? what would be the area of the shaded region? a. 17.5 b. 7 c.14 d.35

One way of solving this problem can be Heron's formula. It is a formula that allows us to compute the area of a triangle, knowing the length of its three sides.

For the sake of clarity, let's assume that the point in the top-left lies in the origin, and let's call it point A. Then, the "middle" point is point B, and the bottom-right point is point C.

If we fix the coordinate axis with the origin in A, we have the following coordinates for the three points:

We can compute the length of any side using the formula for the distance between two points:

Plugging the approriate values, we get the following lenghts:

Now that we have the lengths, we can use Heron's formula: given the side lenghts and the semiperimeter , the area is given by

If you plug our values, you will get an area of 6.5. So, unless I'm mistaken, none of the answers seem to mach, whereas 7 seems the best approximation.

A= 0.25

B= 0.5

C= 0.25

Step-by-step explanation:

Remember that the Probability can be found by dividing the number of times an event occurred by the number of possible Outcomes.