The area of a rectangular plot is 528 m². The length of the plot (in metres) is one mo than twice its breadth. We need to find the leng

Question

The area of a rectangular plot is 528 m². The length of the plot (in metres) is one mo
than twice its breadth. We need to find the length and breadth of the plot.​

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Mary 1 month 2021-09-17T08:06:39+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-17T08:08:12+00:00

    Answer:

    Solution :

    Let the Breadth be b

    Then, length will be 2b + 1

    It is given that Area of reactangular plot is 528 m².

    According to question now :

    Area = Length × Breadth

    528 = (b) (2b + 1)

    528 = 2b² + b

    2b² + b – 528 = 0

    Now, by using splitting term we get,

    2b² – 32b + 33b – 528 = 0

    2b (b – 16) + 33 (b – 16) = 0

    (2b + 33) (b – 16) = 0

    If x – 16 = 0, then x = 16

    If 2b + 33 = 0, then b = -33/2

    Therefore, Breadth = 16 meter.

    So,

    Length = 2b + 1 = 2(16) + 1 = 32 + 1 = 33 m

    Hence,

    Length of the reactangular plot = 33 m

    Breadth of the reactangular plot = 16 m

  1. Emma
    0
    2021-09-17T08:08:35+00:00

    Answer:

    Area =528m^2

    Let Breadth be b

    Then length l = 2b+1

    So (b)(2b+1)=528

    ⇒2b^2+b − 528=0

    ⇒2b^2 − 32b + 33b − 528 = 0

    ⇒2b(b−16) + 33(b−16) = 0

    ⇒(2b+33)(b−16)=0

    So b=16m

    l=33m

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