1.

The length of a rectangular park is 5 metres more than twice its breadth. If the area of the park is 250 sq m, find the length and breadth of the park.

Answer»

Let the breadth of the park is x and the length is 2x + 5.

Area of the park = x \(\times\) (2x + 5) = 250

⇒ 2x+ 5x− 250 = 0

⇒ 2x+ 25x - 20x −250 = 0

⇒ x(2x + 25) -10(2x + 25)=0

⇒ (x - 10) (2x + 25)

⇒ x = 10 or

2x = -25

x = \(\frac{-25}{2} = - 12.5\)

∴ Breadth of the park = 10m 

 Length = 12.5 m



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