The perimeter of a rectangle is P = 4x + 6y. The length is 2x. What is the width?
A) 2x + 6y
B) 2x
C) 3y
D) 6y
E) 4x + 4y

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 P = 4x + 6y and the length l = 2x, we can substitute these into the perimeter formula: 4x + 6y = 2(2x) + 2w. Simplifying, we get 4x + 6y = 4x + 2w, which implies 6y = 2w. Dividing both sides by 2 gives w = 3y. Therefore, the width is 3y.

The Perimeter of a Rectangle Is P = 4x