Question

The area of the octagon below is 10,391.9 square millimeters. What is the approximate perimeter of the octagon? Round to the nearest whole number. Mm What is the approximate length of one side of the octagon? Round to the nearest whole number. Mm

Answer 1

the first one is 371 and the second one is 46

Explanation:

Answer 2

side of the octagon = 46.38 mm

Perimeter of the octagon = 371.04 mm

Explanation:

Area of octagon = 10,391.9 mm²

But, area of octagon is given by the formula = 2(1 + √2)side²

⇒ 2(1 + √2)side² = 10391.9

⇒ 4.83 × side² = 10391.9

⇒ side² = 2151.53

⇒ side of the octagon = 46.38 mm

Perimeter of the octagon = 8 × side

⇒ Perimeter of the octagon = 8 × 46.38

⇒ Perimeter of the octagon = 371.04 mm