4. The perimeter of a rectangular plot is 32 m. If the length I is increased by 2 m and the breadtr bis decreased by 1m, the area of th

Question

4. The perimeter of a rectangular plot is 32 m. If the length I is increased by 2 m and
the breadtr bis decreased by 1m, the area of the plot remains the same. Then the values
of I and b are respectively .
(1) 6m, 10m
(2) 10m, 6m
(3) 10m, 10m
(4) 6m, 6m​

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Amelia 1 month 2021-08-16T18:32:56+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-08-16T18:34:04+00:00

    Answer:

    Here is your answer….

    Step-by-step explanation:

    GIVEN : The perimeter of the rectangular plot is 32 metre if the length is increased by 2 metre and breath decrease by 1 m, the area of the plot remains the same.

    FIND : Length and Breadth

    SOLUTION : Let Length = L and Breadth = B

    Perimeter = 32 => ( 2 L + B ) = 32

    L + B = 16

    As length become ( L + 2 ) m

    As breadth become ( B – 1 ) m

    Area remains same

    ( L + 2 ) ( B – 1 ) = Lb

    Lb – L + 2b -2 = Lb

    L – 2b = -2

    From (1) and (2) adding these and multiply

    (1) by 2

    3L = 30 =>. L = 10m

    B from 1 B = 6 m

    ANSWER : Length = 10m

    Breadth = 6m

    thus, Option 2 is correct…..

    I hope it will help you…

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