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A charity trust decides to build a rectangular hall having an area of $300 \text{ m}^2$. The length of the hall is one metre more than twice its width. Find the length and breadth of the hall.
A charity trust decides to build a rectangular hall having an area of $300 \text{ m}^2$. The length of the hall is one metre more than twice its width. Find the length and breadth of the hall.
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(b) Let width be $x \text{ m}$ and length be $(2x + 1) \text{ m}$
A.T.Q. $(2x + 1) x = 300$
$2x^2 + x - 300 = 0$
$(x - 12) (2x + 25) = 0$
$x = 12$
(Rejecting $x = \frac{-25}{2}$)
length $= 25 \text{ m}$ and width $= 12 \text{ m}$
(b) Let width be $x \text{ m}$ and length be $(2x + 1) \text{ m}$
A.T.Q. $(2x + 1) x = 300$
$2x^2 + x - 300 = 0$
$(x - 12) (2x + 25) = 0$
$x = 12$
(Rejecting $x = \frac{-25}{2}$)
length $= 25 \text{ m}$ and width $= 12 \text{ m}$