Area and perimeter of a rectangle equality question

[demonsword]

When are perimeter and area of a rectangle equal? When they are not? I'm asked to provide 2 examples for each instance.

I got 1 answer for each, for equal i said that all sides lenghts must add up to the product of lenght times width.

For unequality, i said that sides won't add up to the number which is also the product of lenght times width.

What other ways are there?

 

[TchrWill]

When are perimeter and area of a rectangle equal? When they are not? I'm asked to provide 2 examples for each instance.

I got 1 answer for each, for equal i said that all sides lenghts must add up to the product of lenght times width.

For unequality, i said that sides won't add up to the number which is also the product of lenght times width.

What other ways are there?

From LW = 2W + 2L, Ll = 2W/(W - 2)

A few selections of W from 1 on up will show you that only L = 6, W = 3 and L = W = 4 satisfy the requirement. (L = 3, W = 6 work also but are really the same as L = 6 and W = 3.