Mathematics
NULL
Medium
Question
A path of uniform width runs inside a rectangular field 38 m long and 32 m wide. If the path occupies 600 m², the width of the path is _______?
A
3m
B
5m
✓ Official correct answer
C
8.75m
D
10m
Community credibility
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A
3m
No member explanations yet for this option.
B
5m
No member explanations yet for this option.
C
8.75m
No member explanations yet for this option.
D
10m
No member explanations yet for this option.
Explanation
Inner area = 38×32 − 600 = 616. If width = w: (38−2w)(32−2w) = 616 ⇒ w² − 35w + 150 = 0 ⇒ (w−5)(w−30) = 0. Feasible width = 5 m.