Question

How many different rectangles with an area of one hundred twenty square units can be formed using unit squares.?

Using 4 polyas strategy
Understand the problem
Devise a plan
Carry out the plan
Revise the solution

lets see who is brainy here.​

Answer 1

Answer:

relates to using all squares to form 1 rectangle.

But one could also interpret the question as: how many different rectangles with a total area of 120 square units can be formed using unit squares?

In that case, I can use 1x1 + 1x2 + 1x3 + … + 1x13+2x2+2x3+2x4+2x5. The total area of these rectangles is 119, so I have 1 square unit left. So I’ll add that to the 1x13 rectangle to create a 1x14 rectangle instead. So I have 17 different rectangles whose total area is 120.