Brainliest question please help me answer my question please

Step-by-step explanation:

The area for a trapezoid is

h is the length of ST, one of the bases is the length of MK, and the other base is the length of AS.  First we'll find h:

The coordinates for S are (0, -2) and T are (1, 2). Using the distance formula:

and

.  So h = √17

Now for the length of MK. The coordinates for M are (-7, 4) and for K (5, 1). Using the distance formula again:

and

so

which simplifies to

. So MK = 3√17.

Now for the length of AS. The coordinates for A: (-4, -1) and for S: (0, -2). Using the distance formula one more time:

and

and

. So AS = √17.

Now we can fill in our area formula:

Simplifying a bit:

and simplifying a bit more:

and

A = 34