Respuesta :

Answer:

Width of rectangular piece = x = 8 inches

Step-by-step explanation:

Perimeter of rectangular piece = 62 inches

Let width of rectangular piece= x

and length of rectangular piece = x+15

We need to find width i.e value of x

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

Putting values in formula and finding Width:

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

After solving we get value of x = 8

So, Width of rectangular piece = x = 8 inches