Suppose we have a Rectangle class that includes length and width attributes of type int, both set by the constructor. Create an equals method for this class so that two rectangle objects are considered equal if:

a. They have the exact same length and width.

b. They have the same dimensions-that is, they are congruent.

c. They have the same shape-that is, they are similar.

d. They have the same perimeter.

e. They have the same area.

Are all of these definitions of equals valid, based on the criteria listed in Exercise 3?

****Ex. 3****

i. a.equals(a) is true

ii. a.equals(b) has the same value as b.equals(a)

iii. If a.equals(b) is true and b.equals(c) is true, then a.equals(c) is true.