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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? - Mathematics

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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.

  Is there an error in this question or solution?
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 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.7 | Q: 2 | Page no. 70
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.7 | Q: 2 | Page no. 70
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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? Concept: Solutions of Quadratic Equations by Factorization.
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