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