Question 1026996
let a = the length of the side of the original square.
let b = the length of the side of the increased square.


you get the ratio a/b = 2/3.


solve for b to get b = 3/2 * a.


since 3/2 = 1.5, then you get b = 1.5 * a


b is 1.5 * the size of a.


the increase is calculated by subtracting a from b.


b - a is equivalent to 1.5 * a - a because b = 1.5 * a.


1.5 * a - a becomes equal to .5 * a.


the increase is .5 * a which is equivalent to 50% * a.


a is increased by 50% of a to get b which is equal to 150% of a.


for example:


assuming a is equal to 10.


it is increased by 50% of 10 which means it is increased by 5.


the new side length is 10 + 5 = 15.


the new side length is equal to 150% of 10 which is equal to 1.5 * 10 which is equal to 15.