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2026 AMC 10A Problem 22

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2026 AMC 10A Problem 22AMC 10 Step by Step

Name: Date: November 10, 2026

Coordinate Geometry · difficulty 4 of 5 · about 7 min · position P21-25

An engineer is designing a closely packed field of $7$ wind turbines for electricity production. Each turbine, whose center is marked by a labeled dot in the figure, occupies one of $7$ congruent elliptical regions. Turbines in the same row have centers that are $4$ units apart, and turbines in the same column have centers that are $9$ units apart, as shown in the figure below

The major axis of each ellipse is $m\sqrt{p}$ , where $m$ and $p$ are positive integers and $p$ is not divisible by the square of any prime. What is $m + p$ ?

A) $6$
B) $8$
C) $9$
D) $10$
E) $12$

2026 AMC 10A Problem 22

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