Question

some 1 centimeter squares are arranged in a staircase pattern. The drawing below shows a 3 step staircase. the area is 6 square centimeters and the perimeter is 12 centimeters.

what is the area and perimeter of a 10 step staircase?
pls help!

Answer 1

steps area perimeter
1 1 4
2 3 8
3 6 12
4 10 16
...
n n(n+1)/2 4n
so, 10 steps will have area 55 and perimeter 40

Answer 2

thank u so much steve!!