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14 January, 19:25

Write and solve a system of equations to solve this problem. Explain why you choose the method you used. (The length of a rectangle is 3 times the width. The perimeter is 44 cm. What are the dimensions of the rectangle?)

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  1. 14 January, 19:30
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    We need to identify the given data.

    Given:

    Width is unknown but it is the basis of the measurement of length.

    Width = x

    Length = 3x

    Perimeter = 44cm

    Perimeter is solved by adding all the sides of the rectangle. In rectangles, opposite sides are equal.

    Perimeter = Length + Length + Width + Width

    or simply: Perimeter = 2 (Length+Width)

    44cm = 2 (3x + x)

    44cm = 2 (4x)

    44cm = 8x

    44cm/8 = 8x/8

    5.5cm = x ⇒ width of the rectangle.

    Since length is said to be three times the width, so ⇒ 3*5.5 = 16.5cm

    Length = 16.5 cm

    Width = 5.5 cm

    To check: We use the Perimeter formula

    P = 2 (l+w)

    44cm = 2 (16.5cm + 5.5cm)

    44cm = 2 (22cm)

    44cm = 44cm
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