The side lengths of a square are tripled.

Question

The side lengths of a square are tripled.

a) What is the length’s multiplier? What is the percentage increase of the length?

b) From the new (tripled) length, what percentage decrease would be needed to return to the original length? What is the associated multiplier?

c) What effect does the tripled length have on the square’s Perimeter? It’s Area?

Answer 1

a) the length is multiplied by 3, which is a 200% increase

b) to get back to the original length would be a decrease of 200 or 67% decrease, a multiple of 2/3

c) triple the length will triple the perimeter and multiply the area by 3^2 = 9. a 200% increase in the perimeter and an 800% increase in the area.