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lana del rey

Source: 2023 AMC 12B #11

November 15, 2023
geometrytrapezoidAMCAMC 12area2023 AMC2023 AMC 12B

Problem Statement

What is the maximum area of an isosceles trapezoid that has legs of length 11 and one base twice as long as the other? <spanclass=latexbold>(A)</span>54<spanclass=latexbold>(B)</span>87<spanclass=latexbold>(C)</span>524<spanclass=latexbold>(D)</span>32<spanclass=latexbold>(E)</span>334 <span class='latex-bold'>(A) </span>\frac 54 \qquad <span class='latex-bold'>(B) </span> \frac 87 \qquad <span class='latex-bold'>(C)</span> \frac{5\sqrt2}4 \qquad <span class='latex-bold'>(D) </span> \frac 32 \qquad <span class='latex-bold'>(E) </span> \frac{3\sqrt3}4