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15 January, 07:04

The perimeter of a convex pentagon is 15 feet. What is the effect on its perimeter if each side is doubled?

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  1. 15 January, 08:20
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    If each side of pentagon is doubled then its perimeter will also be doubles. The new perimeter is 30 feet.

    Step-by-step explanation:

    Let the length of all five sides of pentagon = v, w, x, y, and z.

    Perimeter of pentagon = Sum of lengths of its all five sides = (v + w + x + y + z) = 15 feet

    If each side of pentagon is doubles then,

    New perimeter of pentagon = (2v + 2w + 2x + 2y + 2z)

    = 2 (v + w + x + y + z)

    = 2 (15)

    = 30 feet

    Therefore, if each side of pentagon is doubled then its perimeter will also be doubled.
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