the length of a side of a square is 8 units. what is the length of a side of the square whose area is three times as large

Question

Help me with this problem!

Answer 1

The area of a square is equal to the length of a side squared, so

 

8² = 64

3(64) = 192

 

So the area of the larger square is 192 units².  The length of each side is the square root of the area.

 

√192 = √64 x √3 = 8√3

 

So each side of the larger square of 8√3 units in length.