Respuesta :

Answer:

So, the required width of rectangular piece of aluminium is 8 inches

Step-by-step explanation:

We are given:

Perimeter of rectangular piece of aluminium = 62 inches

Let width of rectangular piece of aluminium = w

and length of rectangular piece of aluminium  = w+15

We need to find width i.e value of x

The formula for finding perimeter of rectangle is: [tex]Perimeter=2(Length+Width)\\[/tex]

Now, Putting values in formula for finding Width w:

[tex]Perimeter=2(Length+Width)\\\\62=2(w+15+w)\\62=2(2w+15)\\62=4w+30\\62-30=4w\\4w=32\\w=\frac{32}{4}\\w=8[/tex]

After solving we get the width of rectangular piece :w = 8

So, the required width of rectangular piece of aluminium is 8 inches