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13 February, 20:14

The primeter of a rectangle is 53 meters. The length is 2.3 meters longer than the width, w. Write and solve an equation to ind the width of the rectangle.

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  1. 13 February, 20:40
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    The perimeter is the total of adding all of the sides together. A rectangle has 2 lengths and 2 widths. The equation would be:

    P = 2l + 2w or P = l + l + w + w

    Since you know the perimeter, you can plug it into the equation

    53 = 2l + 2w

    You can divide the 2 on both sides

    26.5 = l + w

    l = w + 2.3 because the length is 2.3 meters longer/more than the width. You can substitute (w + 2.3) for "l" in the equation. So instead of:

    26.5 = l + w

    It will be:

    26.5 = (w + 2.3) + w

    26.5 = w + 2.3 + w

    Subtract 2.3 on both sides

    24.3 = w + w

    24.3 = 2w

    Divide 2 on both sides

    12.1 = w

    The width is 12.1 meters
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