Triangular Numbers 2 – Rectangles?

Note that the height is one more than the width. Thus, the answer is $6+1=\boxed{7}$ .

In this pattern we see that the height of the rectangle is $1$ more than the width.

So, the height of the $6^{th}$ rectangle will be: $6 + 1 = \boxed{7}$

If you analyse the pattern , the length of the rectangle is one more than the width
Hence , the length of the 6th triangle will be 6 + 1 = 7

6 of length and 1of width

formula for triangular number is n(n+1)/2. so formula for rectangular number is n(n+1). here n is the width of the rectangle/triangle . so for the 6th rectangle,, (width) n=6 and height n+1=7

In this pattern the height of the rectangle is 1 more than its width. It is given that the rectangle made from the 6th triangular number will have a width of 6. Hence its height will be 6+1=7