Question

The length of a rectangle is 4n centimeters, and it is twice as long as the width. The perimeter of the rectangle is twice as long as that of an equilateral triangle. Find the side length of the triangle in terms of n.

PLEASE HELP AND SHOW WORK

Answer 1

4n - the length of a rectangle
4n : 2 = 2n - the width of a rectangle

P = (4n + 2n) * 2
P = 12n

12n : 2 = 6n - the perimeter of the equilateral triangle
P = 3a
6n = 3a
a = 6n : 3
a = 2n - the side length of the triangle - answer.