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2021 AMC Fall 10B Problem 15

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2021 AMC Fall 10B Problem 15AMC 10 Step by Step

Name: Date: September 13, 2026

Similar & Congruent Triangles · difficulty 4 of 5 · about 6 min · position P11-15

In square $ABCD$ , points $P$ and $Q$ lie on $\overline{AD}$ and $\overline{AB}$ , respectively. Segments $\overline{BP}$ and $\overline{CQ}$ intersect at right angles at $R$ , with $BR=6$ and $PR=7$ . What is the area of the square?

A)
$85$
B)
$93$
C)
$100$
D)
$117$
E)
$125$

2021 AMC Fall 10B Problem 15

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