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:
$8 loss
Step-by-step explanation:
$10 profits, $7 profits, $25 loss
$10+$7=$17 profits
$25 loss - $17 profits = $8 loss
Split the second term in 6x^2 + x - 2 into two terms
6x^3 + 4x - 3x - 2/3x^2 + 14x + 8
Factor out the common terms in the first two term, then in the last two terms
2x(3x + 2) - (3x + 2)/3x^2 + 14x + 8
Factor out the common term 3x + 2
(3x + 2)(2x - 1)/3x^2 + 14x + 8
Split the second term in 3x^2 + 14x + 8 into two terms
(3x + 2)(2x - 1)/3x^2 + 12x + 2x + 8
Factor out common terms in the first two terms, then in the last two terms
(3x + 2)(2x - 1)/3x(x + 4) + 2(x + 4)
Factor out the common term x + 4
(3x + 2)(2x - 1)/(x + 4)(3x + 2)
Cancel 3x + 2
<u>2x - 1/x + 4</u>
It is better to first convert the meters into inches.
Since 1 meter = 39.37 inches, we have that:
5 meters * 39.37 = 196.85 inches
2 meters * 39.37 = 78.74 inches
Therefore, 5 meters by 2 meters = 196.85 inches * 78.74 inches = 15,499.97 or roughly 15,500 square inches