The area of this rectangle is 42 units.
<h3>What is the area of a polygon?</h3>
The area of a polygon refers to the total surface a polygon covers. This can include the total surface of a triangle, rectangle, octagon, etc.
<h3>How to calculate the area?</h3>
There are specific formulas to calculate the area of different polygons. In the case of rectangles the general formula is:
Moreover, because there are diagonal lines, you need to use this formula to calculate the distance of the length and width.
Length:
(5,2) (12 ,-5) coordinates in the plane for the upper length
- √(5-12)²+(2- (-5)²
- √(-7)²+(7)²
- √49 + 49
- 9.89
Width:
(2, -1) (5, 2) coordinates in the plane
- √(2-5)²+(-1- 2)²
- √(-3)²+(3)²
- √9 + 9
- √18
- 4.24
4.24 x 9.89 = 41.9, which can be rounded as 42 units.
Note: This question is incomplete; below I attach the missing section.
Learn more about polygon in: brainly.com/question/2511126