Answer:
The sides are increased by a percentage of 25%
Step-by-step explanation:
Let
x -----> the length side of the original square
y ----> the length side of the increased square
we have
[tex]\frac{x}{y} =\frac{4}{5}[/tex]
[tex]y=\frac{5}{4}x[/tex]
[tex]y=1.25x[/tex]
the increase is calculated by subtracting x from y
so
[tex]y-x=1.25x-x=0.25x[/tex]
Remember that
[tex]0.25=\frac{25}{100}=25\%[/tex]
therefore
The sides are increased by a percentage of 25%