There are 3 5-passenger taxis available so that's 3 x 5 = 15 total seats. There are 19 people needing transportation leaving 19 - 15 = 4 who will have to find other transportation.

The area of a rectangle is width (w) x height (h). In this problem we know that the rectangle is twice as long as it is wide so h = 2w. The perimeter of a rectangle is 2w + 2h and we know that the perimeter of this rectangle is 36 meters so the equation becomes: 2w + 2h = 36.

Putting these two equations together and solving for width (w):

2w + 2h = 36
w + h = \( \frac{36}{2} \)
w + h = 18
w = 18 - h

From the question we know that h = 2w so substituting 2w for h gives us:

w = 18 - 2w
3w = 18
w = \( \frac{18}{3} \)
w = 6

Since h = 2w that makes h = (2 x 6) = 12 and the area = h x w = 6 x 12 = 72 m²

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

2 + (2 + 3) ÷ 5 x 4 - 4²
P: 2 + (5) ÷ 5 x 4 - 4²
E: 2 + 5 ÷ 5 x 4 - 16
MD: 2 + \( \frac{5}{5} \) x 4 - 16
MD: 2 + \( \frac{20}{5} \) - 16
AS: \( \frac{10}{5} \) + \( \frac{20}{5} \) - 16
AS: \( \frac{30}{5} \) - 16
AS: \( \frac{30 - 80}{5} \)
\( \frac{-50}{5} \)
-10

The greatest common factor (GCF) is the greatest factor that divides two integers.