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.

Answer 1

Hello!

First you have to find what the perimeter of the rectangle is

The length if 4n

The length is twice as long as the width which means the width is 2n

Now we can find the perimeter by adding the sides

4n + 2n + 4n + 2n = 12n

This perimeter is twice as long as the equilateral triangle

This means the equilateral triangle perimeter is 6n

An equilateral triangle means all the sides are equal

To find the side length we divide the perimeter by 3

6n / 3 = 2n

The answer is 2n

Hope this helps!