Question

The length of a given rectangle is six more than twice its width. Write a fully simplified expression to represent its perimeter.

Answer 1

Answer:

$Perimeter = 12 + 6y$

Step-by-step explanation:

Represent the length with x and width with y

By analysis, we have:

Length = 6 + 2 times the width.

Mathematically, the expression is:

$x = 6 + 2 * y$

$x = 6 + 2 y$

Required: Determine the perimeter

Perimeter of a rectangle is calculated as:

$Perimeter = 2 * (Length + Width)$

Substitute x for length and y for width

$Perimeter = 2 * (x + y)$

Substitute 6 + 2y for x

$Perimeter = 2 * (6 + 2y + y)$

$Perimeter = 2 * (6 + 3y)$

Open bracket

$Perimeter = 2 * 6 + 2 * 3y$

$Perimeter = 12 + 6y$