Question

The length of the hall is 5m more than it's breathe if the area of the floor of the hall is 84msquare what is the length and the breadth of the hall

Answer 1

Step-by-step explanation:

Given : Area of the floor of the hall : 84 m²

Let the breadth be x m & Length will be = (x + 5) m

A T.Q

Area of rectangle = l × b  

x(x + 5) = 84

x² + 5x = 84

x² + 5x - 84 = 0

x² + 12x - 7x - 84 = 0

[By middle term splitting]

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

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

x + 12 = 0 or  x - 7 = 0

x = - 12 or  x = 7

Since , the breadth can't be negative , so x ≠ - 12

Therefore, x = 7

Breadth,b = x = 7 m

Length = (x + 5) = 7 + 5 = 12 m

Hence, the the length of the hall is 12 m and breadth of the hall is 7 m .

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