Soal SMP · Soal cerita · Kesulitan 4/5
A rectangular garden is 12 meters long and 8 meters wide. A path of uniform width is built around the garden, increasing the total area to 192 square meters. What is the width of the path?
- A.2 meters
- B.1 meter
- C.3 meters
- D.4 meters
Kunci jawaban & pembahasan
Jawaban: 2 meters
Let x be the width. New dimensions: (12+2x) and (8+2x). Area = (12+2x)(8+2x) = 192. Solve: 96 + 24x + 16x + 4x² = 192 → 4x² + 40x - 96 = 0 → x² + 10x - 24 = 0 → (x+12)(x-2)=0 → x=2.
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