Question

A photocopier increased the sides of a square in the ratio 4:5.

By what percentage are the sides increased?

Answer 1

The sides are increased by a percentage of 25%

Explanation:

Let

x -----> the length side of the original square

y ----> the length side of the increased square

we have

`(x)/(y) =(4)/(5)`

`y=(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=(25)/(100)=25\%`

therefore

The sides are increased by a percentage of 25%