Answer the question with an algebraic expression. The width of a rectangle is y feet and its length is 8 feet more than twice its width. What is the perimeter of the rectangle in feet?
A) (6 y + 16) feet
B) (3 y + 8) feet
C) (3 y + 16) feet
D) ( y + 8) feet
E) (6 y + 8) feet

Question

Quizplus · Accepted Answer

The perimeter of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width. Given that the width is y feet and the length is 8 feet more than twice its width, the length can be expressed as l = 2y + 8. Substituting these into the formula gives P = 2(2y + 8) + 2y = 4y + 16 + 2y = 6y + 16 feet.

Answer the Question with an Algebraic Expression