What is the length of BD?

The length is  

B

D

=

36

c

m

Explanation:

Let the mid-point of  

B

C

be  

=

E

Let the mid-point of  

C

D

be  

=

F

Then,

A

G

=

2

3

A

E

and  

A

G

'

=

2

3

A

F

As  

G

and  

G

'

divide  

A

E

and  

A

F

in the same ratio

The lines  

G

G

'

and  

B

D

are parallel

We apply Thales' Theorem

G

G

'

=

2

3

E

F

E

F

=

3

2

⋅

12

=

18

c

m

B

D

=

2

⋅

E

F

=

2

⋅

18

=

36

c

m

Step-by-step explanation:

news channels,news papers,and the internet

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source