<span>16 square units.
Let's use the pythagorean theorem to determine the lengths of each side of the rectangle.
A = (-3,-1), B = (1,3), C = (3,1), D = (-1,-3)
Length AB^2 = (-3 - 1)^2 + (-1 -3)^2 = -4^2 + -4^2 = 16+16 = 32
Length BC^2 = (1 - 3)^2 + (3-1)^2 = -2^2 + 2^2 = 4 + 4 = 8
Length CD^2 = (3-(-1))^2 + (1-(-3))^2 = 4^2 + 4^2 = 16+16 = 32
Length AD^2 = (-3 - (-1))^2 + (-1 - (-3))^2 = -2^2 + 2^2 = 4 + 4 = 8
And just to make certain I haven't accidentally included the diagonal of the rectangle, I'll check AC and BD. So
Length AC^2 = (-3 - 3)^2 + (-1 - 1)^2 = -6^2 + -2^2 = 36 + 4 = 40
Length BD^2 = (1 - (-1))^2 + (3 - (-3))^2 = 2^2 + 6^2 = 4 + 36 = 40
So I now know that length of the rectangle is sqrt(32) and the width is sqrt(8). And the area will be the product of those 2 numbers. So
sqrt(32)*sqrt(8) = sqrt(256) = 16.
So the area of the rectangle is 16 square units.</span>
Although there are many philosophers who have dived into this realm of thinking, perhaps the most famous would be John Locke, who was a major inspiration to the Founding Fathers of the US.
13. Homeland Security
11. False
10. passports
8. national aeronautics and space administration
5. Killed by veto
The best answer for this question would be:
a.
A consistent influx of immigrants willing to
work for low wages
The immigrants at the time were desperate to find jobs, in
order to feed their families. This caused the workforce in the Lowell Mill to
increase.
