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
Lyla 1 month 2021-08-15T07:29:00+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-15T07:30:01+00:00

    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

    0
    2021-08-15T07:30:53+00:00

    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 = + 3x

    \implies{\rm } 0 = + 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

Leave an answer

Browse
Browse

18:9+8+9*3-7:3-1*13 = ? ( )