A garden measuring 10 meters by 7 meters is going to have a walkway constructed all around the perimeter,

A garden measuring 10 meters by 7 meters is going to have a walkway constructed all around the perimeter, increasing the total area to 130 square meters. What will be the width of the pathway?

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  1. The width of the pathway is 3m

    Step-by-step explanation:

    Let the width of the pathway be 'w'

    The area will be 130 square meters

    The dimensions of the garden is 10 x 7

    Area = (10+w) (7+w)

    130 = 70 + 17w + w^2

    w^2 + 17w - 60 = 0

    w^2 +20w - 3w - 60 = 0

    w ( w + 20) - 3 ( w + 20) = 0

    (w + 20) (w - 3) = 0

    w = -20 ( or) w = 3

    w is the width and cannot be negative.

    So, w = 3 meters

    The width of the pathway is 3m

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