The width of a rectangle is 4cm less than the length. If each dimension were increased by 3cm, the width of the new rectangle formed would b

Question

The width of a rectangle is 4cm less than the length. If each dimension were increased by 3cm, the width of the new rectangle formed would be 2/3 the length of the new rectangle. Find the dimensions of the original rectangle.

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Bình An 3 years 2021-08-04T10:10:32+00:00 1 Answers 19 views 0

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  1. Ben
    0
    2021-08-04T10:12:25+00:00
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    Answer:

    The original length is 9 cm and the original width 5 cm

    Step-by-step explanation:

    The area of  a rectangle A is given as the product of its’ length L and width W.

    Given that the width of a rectangle is 4cm less than the length then

    W = L – 4

    If each dimension were increased by 3cm, then the new

    Length

    = L + 3

    Width

    = W + 3

    the width of the new rectangle formed would be 2/3 the length of the new rectangle

    W + 3 = 2/3(L + 3)

    3W + 9 = 2L + 6

    3W = 2L +6 – 9

    3W = 2L – 3

    Recall that W = L – 4

    3(L – 4) = 2L – 3

    3L – 12 = 2L – 3

    3L – 2L = 12 – 3

    L = 9 cm

    W = 9 – 4

    = 5 cm

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