SAT Math Practice Question #2263 (Medium) | Test Citadel
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SAT Math Difficulty: Medium

Digital SAT Math Practice Question #2263

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A rectangular garden has a perimeter of 40 meters. What is the maximum possible area, in square meters, of the garden?
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Masterclass Solution & Distractor Trap Analysis

Perimeter $2l + 2w = 40 \implies l + w = 20 \implies w = 20 - l$. Area $A(l) = l(20 - l) = -l^2 + 20l$. Maximum occurs at $l = 10$, giving area $10 \times 10 = 100$ m$^2$ (a square)....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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