Question

A photocopier increased the sides of a square in the ratio 4:5.
By what percentage are the sides increased?

Answer 1

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

$\frac{x}{y} =\frac{4}{5}$

$y=\frac{5}{4}x$

$y=1.25x$

the increase is calculated by subtracting x from y

so

$y-x=1.25x-x=0.25x$

Remember that

$0.25=\frac{25}{100}=25\%$

therefore

The sides are increased by a percentage of 25%