Question

The perimeter of a rectangle is equal to 4k + 6 units. The length of the rectangle is 2k

units.
Part B
What is the width of the rectangle?
A The width of the rectangle is k + 6 units.
B The width of the rectangle is 2k + 6 units.
C The width of the rectangle is 2 units.
D The width of the rectangle is 3 units.

Answer 1

Answer: D The width of the rectangle is 3 units.

Explanation:

We can substitute the given values into a formula for the perimeter of a rectangle and solve for the width.

Given formula:

P = 2L + 2W

Substitute:

(4k + 6) = 2(2k) + 2W

Distribute:

(4k + 6) = 4k + 2W

Subtract 4k from both sides of the equation:

6 = 2W

Divide both sides of the equation by 2:

W = 3

D The width of the rectangle is 3 units.