Question

9-74. if you have 24 square tiles, how many different rectangles

Answer 1

   
$a)~~1\times 24\\ \boxed{}\boxed{}\boxed{}\boxed{}\boxed{}\boxed{}\boxed{}\boxed{}\boxed{}\boxed{}\boxed{}\boxed{}\boxed{}\boxed{}\boxed{}\boxed{}\boxed{}\boxed{}\boxed{}\boxed{}\boxed{}\boxed{}\boxed{}\boxed{}\\\\ b)~~2\times 12\\ \boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\\ \boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}$


$c)~~3 \times 8\\ \boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\\ \boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\\ \boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\\\\ d)~~4\times 6\\ \boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\\ \boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\\ \boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\\ \boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}\boxed{T}$