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.

$6.42

step-by-step explanation:

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870