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18 December, 15:21

The area of a rectangle is 30 square meters. Find the length and width if the length is 1.45 times the width.

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  1. 18 December, 15:31
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    The length of the rectangle is 14.5√6/29 or 6.6 meters and the width is 10√6/29 or 4.55 meters.

    Step-by-step explanation:

    1. Let's review the information given to us to answer the question correctly:

    Area of a rectangle = 30 square meters

    2. Find the length and width if the length is 1.45 times the width.

    Width of the rectangle = x

    Length of the rectangle = 1.45x

    Now substituting in the formula of the area of a rectangle, this way:

    30 = x * 1.45x

    30 = 1.45x²

    x² = 30/1.45

    x = √30/1.45

    x = 10 √6/29 or 4.55 (Rounding to two decimal places)

    1.45 x = 14.5 √6/29 or 6.6

    The length of the rectangle is 14.5√6/29 or 6.6 meters and the width is 10√6/29 or 4.55 meters.
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