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

Answer 1

✬ Length = 14 m ✬

✬ Breadth = 17 m ✬

Step-by-step explanation:

Given:

• Length of hall is 3 m more than breadth.
• Area of hall is 248 m².

To Find:

• What is the length and breadth of hall?

Solution: Let the breadth be x m. Therefore,

➟ Length = 3 m more than breadth

➟ Length = (x + 3) m

As we know that

★ Ar. of Rectangle = Length • Breadth ★

A/q

• Area is 238

$\implies{\rm }$ 238 = (x + 3)x

$\implies{\rm }$ 238 = x² + 3x

$\implies{\rm }$ 0 = x² + 3x – 238

Now, 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

Answer 2

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