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The areas of the parallelograms can be compared as: A. The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.
<h3>What is a parallelogram?</h3>A parallelogram refers to a geometrical shape and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.
<h3>How to calculate the area of a triangle?</h3>Mathematically, the area of a triangle can be calculated by using this formula:
Area = ½ × b × h
Where:
- b represents the base area.
- h represents the height.
Mathematically, the area of a rectangle can be calculated by using this formula;
A = LW
Where:
- A represents the area of a rectangle.
- l represents the length of a rectangle.
- w represents the width of a rectangle.
Next, we would determine the area of the two parallelograms as follows:
Area of parallelogram 1 = Area of red-rectangular figure - Area of triangle A - Area of triangle B - Area of triangle C - Area of triangle D.
Substituting the given parameters into the formula, we have;
Area of parallelogram 1 = (6 × 6) - (½ × 4 × 2) - (½ × 2 × 4)- (½ × 4 × 2) - (½ × 2 × 4)
Area of parallelogram 1 = 36 - 4 - 4 - 4 - 4
Area of parallelogram 1 = 36 - 16
Area of parallelogram 1 = 20 units².
For parallelogram 2, we have:
Area of parallelogram 2 = Area of blue-rectangular figure - Area of triangle P - Area of triangle Q - Area of triangle R - Area of triangle S.
Substituting the given parameters into the formula, we have;
Area of parallelogram 2 = (8 × 4) - (½ × 2 × 2) - (½ × 6 × 2)- (½ × 2 × 2) - (½ × 2 × 6)
Area of parallelogram 2 = 32 - 2 - 6 - 2 - 6
Area of parallelogram 2 = 32 - 16
Area of parallelogram 2 = 16 units².
Difference = Area of parallelogram 1 - Area of parallelogram 2
Difference = 20 - 16
Difference = 4 units².
In conclusion, we can infer and logically deduce that the area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.
Read more on parallelogram here: brainly.com/question/4459854
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Answer:
Does not factor; domain = -∞<x<∞, range = f(x) ≤ 2.
Step-by-step explanation:
Assuming your end goal is to factor the polynomial
If we use the guess and check method we can see that there is no way to factor this polynomial.
However, if you are looking for a domain and range we can graph it on a graphing calculator. Just by looking at the graph, we can see that the domain is all real numbers, or -∞<x<∞, and the range is f(x) ≤ 2.
I hope this helped!