Maths-
General
Easy

Question

The shape of the window shown is a regular polygon. The window has a boundary made of silver wire. How many meters of silver wire are needed for this border if two sides are given to be left parenthesis x plus 7 right parenthesis text  and  end text left parenthesis 2 x minus 3 right parenthesis

hintHint:

A regular polygon is a polygon with congruent sides and equal angles and are symmetrically placed about a common center.

The correct answer is: 136


    • We have been given a figure of window in the question which is in the shape of a regular polygon, the boundary of the window is made up of silver wire.
    • We have also been given the two sides of it that is - (𝑥 + 7) 𝑎𝑛𝑑 (2𝑥 − 3)
    • We have to find out how many meters of sliver wire are needed for the border.
    Step 1 of 1:
    We have given a window is of shape of regular polygon
    Two of its side is represented by x + 7; 2x - 3
    Since, It is regular polygon, all the sides length will be equal.
    So,

    X + 7 = 2x - 3
    x = 7 + 3
    x = 10
    So,
    The side length is

    = x + 7
    = 7 + 10
    = 17
    Now the perimeter of octagon will be

    = 8 × side
    = 8 × 17
    = 136

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