Printable

2011 AMC 10A Problem 19

Include the solution Back to the problem

2011 AMC 10A Problem 19AMC 10 Step by Step

Name: Date: September 13, 2026

Number Properties · difficulty 4 of 5 · about 5 min · position P16-20

In 1991 the population of a town was a perfect square. Ten years later, after an increase of 150 people, the population was 9 more than a perfect square. Now, in 2011, with an increase of another 150 people, the population is once again a perfect square. Which of the following is closest to the percent growth of the town's population during this twenty-year period?

A)
$42\%$
B)
$47\%$
C)
$52\%$
D)
$57\%$
E)
$62\%$

2011 AMC 10A Problem 19

Working