We can use algebraic operations to rewrite expressions, including polynomial expressions. When we rewrite polynomial expressions, the representations look different but still represent the same expression. Where else have you seen this type of transformation—when something appears different, but its meaning remains the same?

Similar transformations to the application of algebraic operations to rewrite expressions that form representations that appear different from their parent expressions, can be seen in the following fields;

Geometry; Rigid transformations such as rotation, can transform a rectangle to appear to look like a kite

Physics; The heating of a liquid, can transform its physical state from liquid to gas, however, the gas formed by heating the liquid represent the same material chemically

Learn more about transformations here;

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk