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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. |
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Answer» Let the breadth of the park is x and the length is 2x + 5. Area of the park = x \(\times\) (2x + 5) = 250 ⇒ 2x2 + 5x− 250 = 0 ⇒ 2x2 + 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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