Q9 of 242 Page 9

The area of a rectangular plot is 528 m2. The length of the plot (in metres) is one metre more then twice its breadth. Find the length and the breadth of the plot.

Let the breadth be ‘a’ m


Given, length of the plot (in metres) is one metre more then twice its breadth.


⇒ length = 2a + 1 m


Now, area of a rectangular plot is 528 m2


⇒ a × (2a + 1) = 528


⇒ 2a2 + a – 528 = 0


⇒ 2a2 + 33a – 32a – 528 =


⇒ a(2a + 33) – 16(2a + 33) = 0


⇒ (2a + 33)(a – 16) = 0


⇒ a = 16 m


Length = 2 × 16 + 1 = 33 m


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