Question

The rectangle shown in the figure is inscribed in a semicircle of radius 4. Let P = (x, y) be the point in quadrant I that is a vertex of the rectangle and is on the circle. As the point (x, y) on the circle changes, a variety of rectangles are obtained.

A) Express the area A of the rectangles as a function of x.
B) Express the perimeter p of the rectangles as a function of x.

Answer 1

where's the fig

Answer 2

for area use the formula base x height