Question

each side of a 4ft x 6ft rectangular flower bed was lengthened by the same amount. the area of the new flower bed is twice the area of the old one. Find the new dimensions.

Answers

  1. The new dimensions of the flower bed are 4√2 and 6√2

    How to determine the new dimensions?

    The dimensions of the initial rectangular flower bed are given as:
    Length = 4ft
    Width = 6 ft
    The area of the new flower bed is twice the area of the old one.
    This means that
    New Area = Old Area * 2
    Substitute the dimensions of the old area in the above equation
    New Area = 4 * 6 * 2
    Express 2 as √2 * √2
    This gives
    New Area = 4 * 6 * √2 * √2
    Rewrite the above equation as:
    New Area = 4√2 * 6√2
    The area of a rectangle is
    Area = Length * Width
    This means that:
    Length = 4√2 ft
    Width = 6√2 ft
    Hence, the new dimensions of the flower bed are 4√2 and 6√2
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