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The Length of a Hall is 5 M More than Its Breadth. If the Area of the Floor of the Hall is 84 M2, What Are the Length and Breadth of the Hall? - CBSE Class 10 - Mathematics

ConceptSolutions of Quadratic Equations by Factorization

Question

The length of a hall is 5 m more than its breadth. If the area of the floor of the hall is 84 m2, what are the length and breadth of the hall?

Solution

Let the breadth of the rectangular hall be x meters and the length = (x + 5) meters Then

And area of the rectangle

length x breadth = 84

(x + 5)x = 84

x2 + 5x - 84 = 0

x2 - 7x + 12x - 84 = 0

x(x - 7) + 12(x - 7) = 0

(x - 7)(x + 12) = 0

x - 7 = 0

x = 7

or

x + 12 = 0

x = -12

Sides of the rectangular hall never are negative.

Therefore, length

= x + 5 = 7 + 5 = 12

Hence, breadth of the hall be 7 meters and length be 12 meters.

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Solution The Length of a Hall is 5 M More than Its Breadth. If the Area of the Floor of the Hall is 84 M2, What Are the Length and Breadth of the Hall? Concept: Solutions of Quadratic Equations by Factorization.
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