ACT Math Practice Question #1237 (Medium (30)) | Test Citadel
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ACT Math Difficulty: Medium (30)

Digital ACT Math Practice Question #1237

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A rectangular garden has an area of $180$ square feet. If the length is $3$ feet more than three times the width, what is the perimeter, in feet, of the garden?
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Test integer options: $7 \times 24 = 168$. Perimeter $= 2(7 + 24) = 62$.

Masterclass Solution & Distractor Trap Analysis

Let $w$ be the width. The length is $l = 3w + 3$. Area $A = w(3w + 3) = 168\text{ sq ft}$. Dividing by 3 gives $w^2 + w - 56 = 0$. Factoring: $(w + 8)(w - 7) = 0$. Since width must be positive, $w = 7\text{ ft}$. The length is $l = 3(7) + 3...

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

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