Question

Un carpintero quiere cortar una plancha de triple y de 1m de largo y 60 cm de ancho, en cuadrados lo más grandes posibles. El carpintero debe utilizar toda la plancha de triple y h no desperdiciar ningún pedazo ¿cual debe ser la longitud del lado de cada cuadrado?

Answer 1

Answer: $20\ cm$

Step-by-step explanation:

The first step to solve the exercise is to make the conversion from meters to centimeters.

Since $1\ m=100\ cm$, then the dimensions of the wood board in centimeters are:

$Lenght=100\ cm\\\\Width=60\ cm$

Now, you must find the Greatest Common Factor (GCF). The steps are:

- Descompose 100 and 60 into their prime factors:

$100=2*2*5*5=2^2*5^2\\60=2*2*3*5=2^2*3*5$

- Multiply the commons with the lowest exponents:

$GCF=2^2*5\\\\GCF=4*5\\\\GCF=20$

Therefore, the side lenght of each square must be:

$s=20\ cm$