Question

A flat rectangular piece of aluminum has a perimeter of 62 inches. The length is 15

inches longer than the width. Find the width.

Answer 1

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

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:
`Perimeter=2(Length+Width)\\`

Now, Putting values in formula for finding Width w:

`Perimeter=2(Length+Width)\\\\62=2(w+15+w)\\62=2(2w+15)\\62=4w+30\\62-30=4w\\4w=32\\w=(32)/(4)\\w=8`

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

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