Question

part of a strip of border for a bulletin board is shown all of the sections of the border are the same width if the first shape on the strip is a triangle and the strip is 74 inches long what is the last shape on the strip?

Answer 1

Circle

Explanation:

1st answer explained it

Answer 2

Circle

Explanation:

The strip is formed according to the rule:

`\triangle, \ \bigcirc,\ \square,\ \triangle, \ \bigcirc,\ \square,\ \triangle, \ \bigcirc,\ \square, ...`

The length of each box with each figure is 1 inch.

The length of the string is 74 inches, so there will fit 74 boxes with figures. So, you need to know which figure will be last.

1st, 4th, 7th, ... 3n+1 th box contains triangle,

2nd, 5th, 8th, ... 3n+2 th box contains circle,

3rd, 6th, 9th, ... 3n th box contains square.

Now,

`74=3\cdot 24+2`

this means 74th box contains circle, because we add 2 to the product of 3 and 24.