The opposite sides of a rectangle are equal
The shape of ABCD is not a rectangle
If ABCD is a rectangle, then the following must be true
[tex]AC^2 = AB^2 + BC^2[/tex]
Where:
AC represents the diagonal
AB and BC are the side lengths
So, we have:
[tex]AC^2 = AB^2 + BC^2[/tex]
Substitute known values
[tex]22^2 = 20^2 + 15^2[/tex]
Evaluate the exponents
[tex]484 = 400 + 225[/tex]
Evaluate the sum
[tex]484 = 625[/tex]
The above equation is not true
i.e. [tex]484 \ne 625[/tex]
Hence, shape ABCD is not a rectangle
Read more about rectangles at:
https://brainly.com/question/17297081