Cuales son las dimensiones de un rectángulo con un perímetro igual a 578 pulgadas, si su largo es 6 pulgadas menos que 4 veces su ancho

Respuesta :

Answer:

The dimensions of rectangle are 230 in by 59 in

Step-by-step explanation:

The question in English is

What are the dimensions of a rectangle with a perimeter equal to 578 inches, if its length is 6 inches less than 4 times its width?

Let

x-----> the length of rectangle

y----> the width of rectangle

we know that

The perimeter of rectangle is equal to

P=2(x+y)

P=578 in

so

578=2(x+y)

289=x+y -----> equation A

x=4y-6 -----> equation B

substitute equation B in equation A

289=(4y-6)+y

5y=295

y=59 in

Find the value of x

x=4y-6 -----> x=4(59)-6=230 in

therefore

The dimensions of rectangle are

230 in by  59 in

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