Find every possible perimeter of a 36-square-inch rectangle

Answer: A ($$74$$) and B ($$30$$) and C ($$40$$) and E ($$24$$) and G ($$26$$)

The possible pairs of positive integer side lengths are $$1$$ and $$36$$, $$2$$ and $$18$$, $$3$$ and $$12$$, $$4$$ and $$9$$, and $$6$$ and $$6$$. Using the perimeter formula $$2(\text{length} + \text{width})$$, the corresponding perimeters are $$74$$, $$40$$, $$30$$, $$26$$, and $$24$$ inches. Therefore, the values that could be the perimeter are $$24$$, $$26$$, $$30$$, $$40$$, and $$74$$.