Question

Type the correct answer in each box. Round your answers to the nearest integer.

In the figure, the perimeter of hexagon ABCDEF is approximately units __, and its area is __ square units.

Answer 1

He is wrong about the 92.92 500 was correct

Explanation:

Answer 2

(1) 92.92 unit (2) 500 unit²

Explanation:

(1) Perimeter of the given hexagon ABCDEF will be

= Sum of length of all sides

= AB + BC + CD + DE + EF + FA

=
`10+(\sqrt{10^(2)+10^(2)})+\sqrt{10^(2)+10^(2)}+10+\sqrt{20^(2)+10^(2)}+\sqrt{20^(2) +10^(2) }`

=
`20+10√(2) +10√(2)+10+10√((2+1))+10√((2+1))`

=
`(30+20√(2)+20√(3))`

= 30 + 28.28 + 34.64

= 92.92 unit

(2) Area of hexagon = Area of ΔAEF + Area of rectangle ABDE + Area of ΔBCD

=
`(1)/(2) (20)(20)+(20)(10)+(1)/(2)(20)(10)`

= 200 + 200 + 100

= 500 unit²