The area of a rectangular plot is 528 m 2 . The length of the plot (in metres) is one metre more then twice its breadth. Find the length and the breadth of the plot.

Question

Philoid · Accepted Answer

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

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.

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.