CPM Homework Help : PC3 Problem 3-15

Circle with inscribed rectangle, each of the 4 vertices is on a point on each of the 4 quadrants of the circle. The vertical sides are longer than the horizontal sides, bottom side is labeled, 2, x. The circle at right has a diameter of $10$ cm. The figure inscribed in the circle is a rectangle with width $2x$ . Express each of the following quantities in terms of $x$ .

Hint:

Added to the rectangle, diagonal from lower left, to upper right vertices, labeled, 10.

The perimeter of the rectangle.
Step (a):
Write an expression for the height of the rectangle.
$(2x)^2+(h)^2=(10)^2$
The area of the rectangle.
Hint (b):
Multiply the expressions for the base and height.