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13 June, 09:00

The area of a rectangle is 72cm2 the Length of the rectangle is 6cm longer than the width

What is the width of the rectangle

A: 2cm

B:6cm

C:8cn

D:10cm

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Answers (2)
  1. 13 June, 09:29
    0
    A) W * L = 72

    B) L = W + 6

    A) W = 72 / L Substituting this into B

    B) L = 72 / L + 6 Multiplying both sides by "L"

    B) L^2 = 72 + 6L

    B) L^2 - 6L - 72 = 0

    L = 12

    Width = 6
  2. 13 June, 11:49
    0
    Let the width be x

    then length = x + 6

    area = x (x+6)

    72 = x^2 + 6x

    x^2 + 6x - 72=0

    x^2 + 12x-6x - 72 = 0

    x (x + 12) - 6 (x + 12) = 0

    (x-6) (x+12) = 0

    width = 6

    length = 6+6 = 12
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