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10 September, 10:41

A 70 meter path surrounds a rectangular garden. the width of the garden is two thirds it's length. Find its area

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  1. 10 September, 12:56
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    You can set up an equation.

    Let x = measure of the length.

    Width: 2/3x

    Length: x

    From the question, we know that the perimeter is 70 and based on our prior knowledge, we know that for a rectangle, the perimeter is equal to 2 times the length added to two times the width.

    2 (2/3x + x) = 70

    4/3x + 2x = 70

    10/3x = 70

    x = 21

    So the length is 21 meters.

    And since the width is 2/3 the length, 2/3 x 21 is 14.

    So the width is 14 meters.

    And if you add 21 + 21 + 14 + 14, it will equal 70 meters.

    Now let's find the area.

    21 x 14 = 294 square meters.
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