If the dimensions of a rectangle ABCD are 15 x 12, what is the area of rectangle BEFD?

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.

table 3 represents a direct variation function. : )

answer: what in the world is this

step-by-step explanation: