The length of each side of a regular polygon is 1.3 cm. The perimeter of polygon is 10.4 cm.How many side does the polygon have ?​

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The length of each side of a regular polygon is 1.3 cm. The perimeter of polygon is 10.4 cm.How many side does the polygon have ?​

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Sadie 3 weeks 2021-11-07T10:13:37+00:00 1 Answer 0 views 0

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    2021-11-07T10:15:08+00:00

    \mathfrak{\huge{\red{\underline{Question:-}}}}

    The length of each side of a regular polygon is 1.3 cm. The perimeter of polygon is 10.4 cm. How many side does the polygon have ?​

    \mathfrak{\huge{\red{\underline{Given:-}}}}

    The length of each side of a regular polygon = 1.3 cm

    The perimeter of polygon = 10.4 cm

    \mathfrak{\huge{\red{\underline{To \: Find:-}}}}

    Number of sides of the polygon.

    \mathfrak{\huge{\red{\underline{Solution:-}}}}

    The length of all sides of a regular polygon is equal.

    Let the sides of the polygon be x

    Then,

    \sf x \times 1.3 =10.4

    \sf \longrightarrow x=\dfrac{10.4}{1.3}

    \sf \longrightarrow \underline{\underline{x=8}}

    Hence, the polygon has 8 sides.

    \mathfrak{\huge{\red{\underline{Verification:-}}}}

    Number of sides × Length of each side = Perimeter of the polygon

    \sf 8 \times 1.3 = 10.4

    Hence, verified!

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