A rectangular garden is 10 m long and 8 m wide. A path of uniform width is built around it. If the area of the path is 144 m², what is the width of the path?

Jawaban: 2 m

Let path width = x. Outer dimensions: (10+2x) and (8+2x). Area of path = (10+2x)(8+2x) - 80 = 144. Solve: 80 + 20x + 16x + 4x² - 80 = 144 → 4x² + 36x - 144 = 0 → x² + 9x - 36 = 0 → (x+12)(x-3)=0, so x=3. But 3 m is option? Yes, option index 1 is 3 m. Wait, answerIndex 0 is 2 m? I need to set correct answer. Actually x=3, so answer is 3 m. So answerIndex should be 1. I'll adjust: options: ['2 m','3 m','4 m','1 m'], answerIndex=1. Explanation: x=3. So I'll set that.