the length of a hall is 3m more than its breadth .if the area of the hall is 238 m square calculate its length and breadth Question the length of a hall is 3m more than its breadth .if the area of the hall is 238 m square calculate its length and breadth in progress 0 Math Lyla 1 month 2021-08-15T07:29:00+00:00 2021-08-15T07:29:00+00:00 2 Answers 0 views 0

## Answers ( )

Step-by-step explanation:let take bredth=x

length=x+3

area of hall=238

x(x+3)=238

238is also written as 14*17

x(x+3)=14*(14+3)

so, x=14

x+3=17

hope this help u

✬Length=14m✬✬Breadth=17m✬Step-by-step explanation:Given:ToFind:SolutionLet the breadth be:m. Therefore,x➟ Length = 3 m more than breadth

➟ Length = (x + 3) m

As we know that

★Ar.ofRectangle=Length•Breadth★A/q

238=(x+3)x238=x²+3x0=x²+3x–238Now, by middle term splitting

➛ x² + 3x – 248

➛ x² + 17x – 14x – 248

➛ x (x + 17) – 14 (x + 17)

➛ (x – 14) and (x + 17)

➛ x – 14 = 0 and x + 17 = 0

➛ x = 14 and x = –17

We will take positive value of x. { Negative ignored }

Hence,

➟ Breadth = x = 14 m

➟ Length = (x + 3) = 14 + 3 = 17 m