The side of an equilateral triangle is 15, the width of the rectangle is 80cm, and the length is 2 times.

The side of an equilateral triangle is 15, the width of the rectangle is 80cm, and the length is 2 times. Find the perimeter of each figure. Compare the perimeters of the figures.

Since, by definition, all sides are equal in an equilateral triangle, the perimeter P of an equilateral triangle is:

P = 3 * (side length) = 3 * 15 = 45.

In this rectangle, the length is twice the width. Means:

(length) = 2 * (width) = 2 * 80 = 160.

Perimeter of rectangle Q:

Q = 2 * ((length) + (width)) = 2 * (80 + 160) = 480.

Obviously, P <Q, since 45 <480.