Question

16.For which value of x is the side length of the square between 11 centimeters and 12centimetersFor which value of x is the side length of the squarebetween 11 centimeters and 12 centimeters?x cmA 136B 149C 172D 199

Answer 1

We are given 4 choices for x and we have to choose the one whose value lies between 11 and 12. To do that, we need to know what each square root evaluates to.

Now, we must remember the squares of integers:

10^2 = 100

11^2 = 121

12^2 = 144

13^2 = 169

14^2 = 196

Therefore, we could go the other way around and say

√100 = 10

√121 = 11

√144 = 12

√169 = 13

√196 = 14

Now back to our question but phrased in another way:

Which of the choices lies between 144 and 121?

The answer is 136; therefore, the correct choice is A.