Question

Find the perimeter of a regular octagon with each side measuring 15m 6cm

Answer 1

Given

• Each side of a octagon is 15m 6cm
• or 15.06m

⠀

To find

• Perimeter of the regular octagon.

⠀

Solution

• Before solving this question, let's learn about the characteristics of a regular octagon.

⠀

‣ It has 8 equal sides and angles.

‣ Each angle is of 135°.

‣ Sum of Interior Angles is 1080°

‣ It has 20 diagonals.

⠀

★ Now let's solve this question.

• Let the side of the regular octagon be x.

⠀

★ We know that,

⠀

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt{\bigstar{Perimeter = 8x{\bigstar}}}}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {Perimeter = 8 \times (15.06)}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {Perimeter = 120.48}$

⠀

Hence, perimeter of the regular octagon is 120.48 meter.

━━━━━━━━━━━━━━━━━━━━━━

Answer 2

Question:-

Find the perimeter of a regular octagon with each side measuring 15m 6cm

Answer:-

• The perimeter of the octagon is 120.48 m

To find:-

• Perimeter of octagon

Solution:-

$\purple{ \underline{ \underline{ \green{ \huge{ \mathfrak{perimeter = 8 \times side}}}}}}$

• Side of octagon = 15 m 6 cm = 15.06 m

$\large{ \tt: \implies \: \: \: \: perimeter = 8 \times 15.06}$

$\large{ \tt: \implies \: \: \: \: perimeter = 120.48 \: m}$

Hence,

The perimeter of the octagon is 120.48 m