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The perimeter of a rectangular plot is 48 m and area is 108 m². The dimensions of the plot are
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- 36 m and 3 m
- 12 m and 9 m
- 27 m and 4 m
- 18 m and 6 m
- 36 m and 3 m
Correct Option: D
Using Rule 9, If the length and breadth of the plot be x and y respectively, then 2(x + y) = 48
⇒ x + y = 24 .....(i)
xy = 108 .....(ii)
∴ (x – y)² = (x + y)² – 4xy
= (24)² – 4 × 108
= 576 – 432 = 144
∴ x – y = 12 .....(iii)
From equations (i) and (iii),
x = 18 metre and y = 6 metre
