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 ?​

Answer 1

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

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!