Value-Based Questions: Polynomials Class 10 Notes | EduRev

Mathematics (Maths) Class 10

Class 10 : Value-Based Questions: Polynomials Class 10 Notes | EduRev

The document Value-Based Questions: Polynomials Class 10 Notes | EduRev is a part of the Class 10 Course Mathematics (Maths) Class 10.
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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
∴ Length of the hall
= 2 [Breadth of the hall] + 1 metre
= (2x + 1) metre
∴ Carpet area of the hall
= Length × Breadth
= (2x + 1) × x
= 2x2 + x
But the carpet area of the hall = 300 sq.
metre
∴ 2x2 + x = 300
⇒ 2x2 + x – 300 = 0
⇒ 2x2 + 25x – 24x – 300 = 0
⇒ x(2x + 25) –12(2x + 25) = 0
⇒ (x – 12) (2x + 25) = 0
⇒ x – 12 = 0
or 2x + 25 = 0
⇒x = 12
Value-Based Questions: Polynomials Class 10 Notes | EduRev

But  Value-Based Questions: Polynomials Class 10 Notes | EduRev is not required as the length
or breadth cannot be negative.
∴ x = 12 m and 2x + 1 = (2 × 12) + 1 = 25 m
∴ 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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