MathDB

2023 MOAA Accuracy P7

Source:

October 13, 2023

MOAA 2023

Problem Statement

Pentagon

ANDD'Y

has

AN \parallel DY

and

AY \parallel D'N

with

AN = D'Y

and

AY = DN

. If the area of

ANDY

is 20, the area of

AND'Y

is 24, and the area of

m

is 26, the area of

ANDD'Y

can be expressed in the form

\frac{m}{n}

for relatively prime positive integers

m

and

n

. Find

m+n

.
Proposed by Andy Xu

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