The length of a rectangle exceeds the breadth by 5cm. If the length is decreased by 1cm and the breadth is increased by 3cm, then

Question

The length of a rectangle exceeds the breadth by 5cm.
If the length is decreased by 1cm and the breadth is
increased by 3cm, then the area of the new rectangle
increases by 32cm^2. Find the perimeter of the orignal rectangle​

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Josephine 7 days 2021-09-13T17:40:13+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-09-13T17:42:08+00:00

    Answer:

    Length = 25cm

    Breadth = 20cm

    Step-by-step explanation:

    Let the original length and breadth be l and b.

    l = x

    b = x + 5.

    Now,

    New length, l = x – 1

    New breadth, b = x + 8.

    Area of the new triangle exceeds the area of the original triangle.

    (x – 1)(x + 8) = x(x + 5) + 32

    x² + 8x – x – 8 = x² + 5x + 32

    8x – x – 5x = 32 + 8

    2x = 40

    x = 20 cm.

    So, the length and breadth of the rectangle is 25 cm and 20 cm, respectively.

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