Question

A flat rectangular piece of aluminum has a perimeter of 60 inches. The

length is 14 inches longer than the width. Find the width.

please add all the steps and explanation thank you.

Answer 1

width = 8 inches

Explanation:

⭐ What is the formula for the perimeter of a rectangle?

• perimeter = 2(length) + 2(width)

We are given that the length is 14 inches longer than the width, and the perimeter of the rectangle is 60 inches.

So, let's substitute these values into the perimeter formula and solve for the width. Let w = width.

`60 = 2(14 + w) + 2(w)` Multiply the 2 into the parentheses

`60 = 28 + 2w + 2w` Add like terms (terms with the same variable)

`60 = 28 + 4w` Subtract 28 on both sides

`32 = 4w` Divide both sides by 4 to isolate the variable

`8 = w`

∴ The width is 8 inches.