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27 October, 13:31

A rectangular lawn measuring 8m by 5m is surrounded by a flower bed of uniform width. The combined area of the lawn and the flower bed is 154^2. What is the width of the flower bed?

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  1. 27 October, 17:12
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    10.68 m

    Step-by-step explanation:

    Step 1: Area of flower bed

    Uniform width means that all sides are the same which makes it a square.

    Area of flowerbed = L²

    Step 2: Area of rectangular lawn

    Area of rectangular lawn = Length x width

    Length = 8m

    Width = 5m

    Area of rectangular lawn = 8 x 5

    Area of rectangular lawn = 40m

    Step 3 : Calculate the width of the flower bed

    Combined Area = 154 m²

    Area of rectangular lawn + Area of flower bed = Combined Area

    40 + L² = 154

    L² = 154

    L = √114

    L = 10.68 m

    Therefore, the width of the flower bed is 10.68 m
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