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

Width of rectangular piece = x = 8 inches

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

Putting values in formula and finding Width:

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

After solving we get value of x = 8

So, Width of rectangular piece = x = 8 inches