Question

The perimeter of a rectangle equals the sum of twice its length and twice its width. A rectangle has a length of 4n + 3 units and a width of 3n units. Write an expression for the perimeter of this rectangle in simplest form.

Answer 1

Perimeter of the rectangle = 14n + 6 units

Explanation:

Perimeter of a rectangle = (2 * length) + (2 * width)

Perimeter of a rectangle = 2(length + width)

Length of the rectangle = 4n + 3 units

Width of the rectangle = 3n units

Perimeter of the rectangle = 2(length + width)

= 2{(4n + 3) + 3n}

= 2(4n + 3 + 3n)

= 2(7n + 3)

= 14n + 6

Perimeter of the rectangle = 14n + 6 units