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The given figure shows a rectangle inscribed in an isosceles right

triangle whose hypotenuse is 14 units long.

(a) Express the y-coordinate of P in terms of x. (Hint: Write an

equation for the line AB.)

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

(c) What is the largest area the rectangle can have, and what are

its dimensions?

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

(Type an expression using x the variable.)

0

X

P(x,?)

A

Fig: 1