Q:

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?

Accepted Solution

A:
Answer: [tex]20\ cm[/tex] Step-by-step explanation: The first step to solve the exercise is to make the conversion from meters to centimeters. Since [tex]1\ m=100\ cm[/tex], then the dimensions of the wood board in centimeters are: [tex]Lenght=100\ cm\\\\Width=60\ cm[/tex] Now, you must find the Greatest Common Factor (GCF). The steps are: - Descompose 100 and 60 into their prime factors: [tex]100=2*2*5*5=2^2*5^2\\60=2*2*3*5=2^2*3*5[/tex] - Multiply the commons with the lowest exponents: [tex]GCF=2^2*5\\\\GCF=4*5\\\\GCF=20[/tex] Therefore, the side lenght of each square must be: [tex]s=20\ cm[/tex]