The accompanying figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is

2626

units long.

a. Express the​ y-coordinate of P in terms of x.​ (You might start by writing an equation for the line​ AB.)

b. Express the area of the rectangle in terms of x.

-1313xy

00

xx

Upper AA

Upper BB

Upper P left parenthesis x comma question mark right parenthesisP(x,?)

A coordinate plane has a horizontal x-axis labeled from negative 13 to 13 in increments of 13 and an unlabeled vertical y-axis. A line segment extends from the point (negative 13, 0) and rises from left to right to the point B on the positive y-axis. A line falls from left to right passing through the point B, the plotted point labeled P (x, ?), and the point labeled A at (13, 0). The rising line segment and the falling line intersect at a right angle at B. A vertical line segment extends from the positive x-axis to the plotted point P (x, ?). A horizontal line segment extends from the plotted point P (x, ?) to where it intersects the rising line segment. A vertical line segment extends from the negative x-axis to where the horizontal line segment intersects the rising line segment. The rectangle formed by the x-axis, the horizontal line segment, and the two vertical line segments is shaded.

Question content area bottom

Part 1

a. The expression for the​ y-coordinate of P is

​(Type an expression using x as the​ variable.)

Part 2

b. The expression for the area of the rectangle is

enter your response here.

​(Type an expression using x as the​ variable.)