The perimeter of rectangle abcd is 256 inches. its length is 3 times as long as its width. find the area of triangle abc.

Step-by-step explanation:

The formula of a perimeter of a rectangle:

The formula of an area of a rectangle:

l - lenght

w - width

We have l = 3w and the perimeter P = 256 in. Substitute:

              divide both sides by 2

              divide both sides by 4

Calculate the area of a rectangle:

The triangle ABC is the half of the rectangle. Therefore the area of a triangle ABC is: