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**Ques 1: A charity trust decides to build a prayer hall having a carpet area of 300 square metres with its length one metre more than twice its breadth.(i) Find the length and the breadth of the hall.(ii) Which mathematical concept is used in the above problem?(iii) By building a prayer-hall, which value is depicted by the trust?Sol: **(i) Let the breadth of the hall = x metres

âˆ´ Length of the hall

= 2[Breadth of the hall] + 1 metre

= (2x + 1) metre

âˆ´ Carpet area of the hall

= Length Ã— Breadth

= (2x + 1) Ã— x

= 2x

But the carpet area of the hall = 300 sq.

metre

âˆ´ 2x

â‡’ 2x

â‡’ 2x

â‡’ x(2x + 25) â€“12(2x + 25) = 0

â‡’ (x â€“ 12) (2x + 25) = 0

â‡’ x â€“ 12 = 0

or 2x + 25 = 0

â‡’x = 12

But is not required as the length

or breadth cannot be negative.

âˆ´ x = 12 m and 2x + 1 = (2 Ã— 12) + 1 = 25 m

âˆ´ Breadth of the hall = 12 m

Length of the hall = 25 m

(ii) Quadratic equations

(iii) Enhancing prayer and God fearing feelings.

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