How do I solve this?

Question

A rectangle and an equilateral triangle have the same perimeter. the length of the rectangle is twice its width. Each side of the triangle is 45 m. How do I find the length and width of the rectangle?

Answer 1

Perimeter of the TRIANGLE = 45 + 45 + 45 = 135 m

Let W = WIDTH in meters of the RECTANGLE

LENGTH = 2W

Perimeter of the RECTANGLE: 2W + W + 2W + W = 6W

Since the PERIMETERS are the same:

6W = 135 m

W = 135/6 m (Dividing both sides by 6.)

W = 22.5 m

THE WIDTH OF THE RECTANGLE IS 22.5 m

THE LENGTH OF THE RECTANGLE = 2W = (2)(22.5) = 45 m

CHECKING:

Does the PERIMETER of the RECTANGLE equal the PERIMETER of the triangle of 135 m?

Perimeter of the rectangle = 45 + 45 + 22.5 + 22.5 = 90 + 45 = 135 m