What is the area of the figure with vertices ?

What is the area of a regular octagon with sidelength 10?

A man wants to design a room such that, looking from above, it appears as a trapezoid with a square attached (shown below). The area of the entire room is to be 100 square meters. The red line shown bisects the dotted line and has a length of 15. How many of the following answers are possible values for the length of one side of the square?

a) 5

b) 6

c) 7

d) 8

Figure is not to scale, but the trapezoidal figure will be similar in dimensions to the one shown.

The following picture represents a garden with a wall built around it. The garden is represented by , the gray area,; and the wall is represented by the white area.

and are both squares and the area of the garden is equal to the area of the wall.

The length of is .

Find the area of the wall.

What is the area of a regular hexagon with sidelength 10?

The perimeter of a regular hexagon is 72 centimeters. To the nearest square centimeter, what is its area?

Note: Figure NOT drawn to scale

What is the area of the above figure?

Assume all angles shown in the figure are right angles.

What is the maximum possible area of a quadrilateral with a perimeter of 48?