42 - 47
Polygons are
triangle, trapezoid, triangle, parallelogram, rectangle and parallelogram
The area of triangles = 1/2 * base * haight.
Area of the parallelograms = height * base.
Area of rectangle= width * length
Area of trapezoid = 1/2 * (a + b) * height where a and b are the opposite parallel sides
The perimeters = sum of the sides of the polygons.
The area will be half the product of the lengths of AB and CD.
|AB| = √((6-1)² +(-2-3)²) = 5√2
|CD| = √((5-2)² +(5-2)²) = 3√2
Area = (1/2)*(5√2)*(3√2) = (1/2)*(15*2) = 15
The appropriate choice is ...
D: 15 square units
Sqrt14 = 3.74165
smallest integer above = 4
The expression that is not a variation of the Pythagorean identity is the third option.
<h3>
What is the Pythagorean identity?</h3>
The Pythagorean identity can be written as:

For example, if we subtract cos^2(x) on both sides we get the second option:

Which is a variation.
Now, let's divide both sides by cos^2(x).

Notice that the third expression in the options looks like this one, but the one on the right side is positive. The above expression is in did a variation of the Pythagorean identity, then the one written in the options (with the 1 instead of the -1) is incorrect, meaning that it is not a variation of the Pythagorean identity.
Concluding, the correct option is the third one.
If you want to learn more about the Pythagorean identity, you can read:
brainly.com/question/24287773
Six divided by five maybe and add a 1