Question

I need this help me pls

Answer 1

`\boxed{\sf Area \ of \ regular \ octagon \ (A) = 482 \ cm^2}`

Given:

Side length (s) = 10 cm

To Find:

Area of regular octagon (A)

Explanation:

Area of regular octagon is given by the following formula:

`\boxed{ \bold{A = 2(1 + √(2))s^2}}`

By substituting value of s in the formula we get:

`\sf \implies A = 2(1 + √(2) ) * {(10)}^(2) \\ \\ \sf \implies A = 2(1 + √(2) ) * 100 \\ \\ \sf \implies A = 2(1 + 1.41) * 100 \\ \\ \sf \implies A = 2(2.41) * 100 \\ \\ \sf \implies A = 4.82 * 100 \\ \\ \sf \implies A = 482 \: {cm}^(2)`

`\therefore`

Area of regular octagon (A) = 482 cm²

Answer 2

30 cm^2 approximately

Explanation:

The formula for calculating the area of a octagon is 2 (1 + √2) x^2 (x : side length)

2 + 2√2 × 100 = 30 cm^2 approximately