MathDB

Maximize Circumscribing Rectangle

Source: 2016 AIME I #9

March 4, 2016

2016 AIME IgeometryAIME

Problem Statement

Triangle

ABC

has

AB = 40

,

\overline{QR}

, and

\sin A = \tfrac15

. This triangle is inscribed in rectangle

AQRS

with

B

on

\overline{QR}

and

C

on

\overline{RS}

. Find the maximum possible area of

AQRS

.

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