Question

Mateo reproducira una foto que mide 5 cm por lado a una escala de 3/4

cuanto medira el lado del cuadrado de la copia?
la medida de la copia sera mayor o menor que la original?

Answer 1

the question in English

Mateo will reproduce a photo measuring 5 cm per side on a scale of 3/4

How much will the square side of the copy measure?

Will the size of the copy be larger or smaller than the original?

we know that

the scale factor is equal to
`(3)/(4)`

Let

x----------> the original length side

y--------> the copy length side

`y=(3)/(4)*x`

we have that

`x=5\ cm`

substitute the values

`y=(3)/(4)*5=3.75\ cm`

therefore

the answer Part a) is

the length side of the copy measure is
`3.75\ cm`

Part b)

we know that

the size of the original photo is------>
`5*5=25\ cm^(2)`

the size of the copy is------>
`3.75*3.75=14.06\ cm^(2)`

so

`14.06\ cm^(2) < 25\ cm^(2)`

therefore

the answer part b) is

The size of the copy be smaller than the original