in the figure, the perimeter of hexagon abcdef is approximately 93 units, and its area is units.

Step-by-step explanation:

We have been been given an image of hexagon ABCDEF and we are asked to find the area of our given hexagon.

Upon looking at our given diagram, we can see that it consists two congruent trapezoids, so the area of our given hexagon will be 2 times the area of trapezoid ABCF.

, where, a and b are bases of trapezoid and h is height of trapezoid.

We can see that height of our given trapezoid is 10 as the altitude from point A will be 10 units on x-axis.

Since the area of two times the area of hexagon ABCF, so we wil multiply 250 by 2 to get the area of trapezoid.

Therefore, the area of our given hexagon is 500 square units.