Question

the length of a hall is 5m more than its breadth. if the area of the floor of the hall is 84 msquare, what are the length and the breadth of the hall

Answer 1

Heya mate ,
here is your answer,

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let the breadth be x m so the lenght will be( x+5)m

according to the given condition

area of rectangle = 84m2

x(x+5)=84

x2+5x=84

x2+5x-84=0

x2+12x-7x-84=0

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

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

x+12=0

x-7=0

x=-12 and 7

since the breadth can never be in negative .

so x=7 x+5=12

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# nikzz

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so length of rectangle =12m

and breadth of rectangle=7m

Answer 2

SOLUTION :  

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 .

HOPE THIS ANSWER WILL HELP YOU…..