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Mathematics NULL Medium
Question

A big rectangular plot of area 4320 m² is divided into 3 square plots by fencing parallel to the shorter side; some land remains. Then 3 more square plots are formed by fencing parallel to the longer side so no area is left. What are the dimensions of the original plot?

A
160 m × 27 m
B
240 m × 18 m
C
120 m × 36 m
✓ Official correct answer
D
135 m × 32 m

Community credibility

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A
160 m × 27 m
Official option

No member explanations yet for this option.

B
240 m × 18 m
Official option

No member explanations yet for this option.

C
120 m × 36 m
Official option

No member explanations yet for this option.

D
135 m × 32 m
Official option

No member explanations yet for this option.

Explanation

With 120 m × 36 m: three 36 m squares use 108 m, leaving 12 m; three 12 m squares fit the 36 m side. Area = 120 × 36 = 4320. So 120 m × 36 m.

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