User:Anabel.disher/Sandbox/Prob 7
< User:Anabel.disher | Sandbox
Revision as of 13:44, 18 June 2025 by Anabel.disher (talk | contribs) (Created page with "==Problem== The number <math>0.2012</math> is between <math> \text{ (A) }\ 0 \text{ and } \frac{1}{10} \qquad\text{ (B) }\ \frac{1}{10} \text{ and } \frac{1}{5} \qquad\te...")
Problem
The number 
is between
Solution 1
The area of a rectangle is its width multiplied by its height, so the area would be 
.
The area of a square is its side length squared, so we can let 
be the side length of the square. Since the area of the rectangle is the same as the area of the square, we have:
Taking the square root of both sides to remove the squared value, we get:
Thus, the dimensions of the square are 
~anabel.disher
Solution 2
Instead of solving for 
, we can notice that 
, so:
Taking the square root of both sides gives:
This gives us as the answer, like in solution 1.
~anabel.disher
