Question

The figure below is composed of square BCDE and equilateral

triangle ABE. The length of CD is 6 inches. What is the perimeter
of ABCDE in inches.

Answer 1

Answer: The perimeter is 30 inches.

Explanation:

THE MISSING FIGURE IS ATTACHED.

By definition the sides of an Equilateral triangle are all equal. This means that:

`EB=BA=AE`

The lengths of all the sides of a square are all equal, which means that:

`BC=CD=DE=EB`

Since the lenght of the side CD is 6 inches, you can say that the lenght of each side of the compose figure is 6 inches. Then:

`BC=CD=DE=EB=BA=AE=6\ inches`

Therefore, in you can determimne that the perimeter of ABCDE is:

`P=BC+CD+DE+AE+BA=\\\\P=6\ in+6\ in+6\ in+6\ in+6\ in\\\\P=30\ in`