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2023 AMC 10A Problem 17

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2023 AMC 10A Problem 17AMC 10 Step by Step

Name: Date: September 13, 2026

Triangles: Area & Pythagorean · difficulty 3 of 5 · about 5 min · position P16-20

Let $ABCD$ be a rectangle with $AB = 30$ and $BC = 28$ . Point $P$ and $Q$ lie on $\overline{BC}$ and $\overline{CD}$ respectively so that all sides of $\triangle{ABP}, \triangle{PCQ},$ and $\triangle{QDA}$ have integer lengths. What is the perimeter of $\triangle{APQ}$ ?

A)
$84$
B)
$86$
C)
$88$
D)
$90$
E)
$92$

2023 AMC 10A Problem 17

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