13 square units
<h3>
Further explanation</h3>
Consider attachment for details.
We make a KLMN rectangle that touches all the vertices of the ABCD parallelogram. Consequently, the ABCD parallelogram is right inside the KLMN rectangle.
Let us take the following strategic steps:
- Calculate the area of KLMN.
- Calculate the area of the triangles ABL, CDM, ADK, and BCN.
- Subtract the area of the KLMN rectangle with the area of all triangles.
- The difference in the area above is the area of the ABCD parallelogram.
<u>The Process:</u>
- The area of KLMN = 4 x 5 =
- The ADK triangle is congruent to the BCN triangle, and each area is Thus the total area of ADK and BCN is
- The ABL triangle is congruent to the CDM triangle, and each area is Thus, the combined area of ABL and CDM is
- Finally, the area of ABCD = 20 - 4 - 3 = 13.
As a result, we get the area of the parallelogram ABCD is 13 square units.
<h3>Learn more</h3>
- A triangle is rotated 90° about the origin brainly.com/question/2992432
- Find out the coordinates of the image of a vertex after the triangle is rotated 270° about the origin brainly.com/question/7437053
- The midpoint brainly.com/question/3269852
Keywords: what is the area of parallelogram ABCD, in square units, graph, cartesian coordinates, triangle, rectangular, congruent, touches all the vertices