Remember the Greek Myth

Algebra Level 2

You're building a Greek temple with Corinthian columns as shown. All the columns will be placed on the corners and edges of the rectangular plane with equal spacing to each other.

If the plane is 30 meters wide and 40 meters long with equal column spacing of 5 meters, how many columns will you need for this architecture?


The answer is 28.

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1 solution

On the front, a distance of 30 meters can be divided into 30/5 = 6 equal spaces. However, to cover 6 spaces, we need 6+1 = 7 columns on the front. (Take a look at your hand; there are 5 fingers but only 4 finger spaces.) Similarly, this goes the same for the back with 7 columns.

Then looking at the side, there will be 40/5 + 1 = 9 columns on each side.

The total columns, however, is not simply adding these amounts together as they overlap 4 corners in view, so the total number = 7 + 7 + 9 + 9 - 4 = 28 columns.

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