Answer:
The area of rectangle BEFD is 180 square units.
Step-by-step explanation:
After checking the figure given, we have the following information:
,
,
, 
By Pythagorean Theorem, we determine the length of the line segment BD:
(1)


In addition, we know the following characteristics of the rectangle BEFD:
,
,
(2), (3), (4)
By Pythagorean Theorem:
(5)
(6)
By (3), (4), (5) and (6):
(7)
(8)
By (7) in (8):



Then, we clear
:


If we know that
,
and
, then the length of the segment
is:

And the length of the line segment
is:



And the length of the line segment
is determined by Pythagorean Theorem:



And the area of the rectangle is determined by the following formula:



The area of rectangle BEFD is 180 square units.
Answer:

Step-by-step explanation:
Let, the length of the rectangle be 'L',
Width of the rectangle be 'W'

Perimeter of the rectangle= 
Perimeter of the rectangle= 

As,



Answer:
10=Z and 10=Y
Step-by-step explanation:
since it is a 45, 45, 90 triangle
both Z and Y will be the same length
the hypotenuse has a length of
with x being the length of the legs
Since the length of this triangle's hypotenuse is
the side length would be 10
Hope that helps :)