Question

The width of a rectangle is represented by 5+2y. The length is twice as long as the width .What is the perimeter of the rectangle? Select all correct expression

Answer 1

30 + 12y

Explanation:

Width of the rectangle is given by (5+2y)

Length of the rectangle is twice its width.

= 2*(5+2y)

=10 + 4y

Perimeter of the rectangle is the sum of all four sides of the rectangle.

Hence perimeter is given by 2 * (length + width)

=
`\[2* [(5 + 2y) + (10 + 4y)]\]`

Simplifying,

=
`\[2* [(15+6y)]\]`

=
`\[(30+12y)\]`

Hence the perimeter of the rectangle is given by (30 + 12y)