Problem

2020 Pascal Problem 14

A sequence of figures is formed using tiles. Each tile is an equilateral triangle with side length 7 cm. The first figure consists of 1 tile. Each figure after the first is formed by adding 1 tile to the previous figure. The first four figures are as shown:

How many tiles are used to form the figure in the sequence with perimeter 91 cm?

\textbf{(A)}\ 6\quad \textbf{(B)}\ 11\quad \textbf{(C)}\ 13\quad \textbf{(D)}\ 15\quad \textbf{(E)}\ 23

If there are no answer choices shown, enter a numerical answer.


Full credit to this problem is given to the CEMC, you may view all Pascal contests here.


Show/Hide Problem Tags

Problem Tags: No tags

Want to contribute problems and receive full credit? Click here to add your problem!
Please report any issues to us in our Discord server
Go to previous contest problem (SHIFT + Left Arrow) Go to next contest problem (SHIFT + Right Arrow)