MathDB

Let

ABCD

be a rectangle with

AB=10

and

AD=5.

Suppose points

P

and

Q

are on segments

CD

and

BC,

respectively, such that the following conditions hold:
[*]

BD \parallel PQ

[*]

\angle APQ=90^{\circ}.

What is the area of

\triangle CPQ?

Proposed by Kyle Lee

Problem Statement