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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.

Respuesta :

Answer: The perimeter is 30 inches.

Step-by-step explanation:

THE MISSING FIGURE IS ATTACHED.

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

[tex]EB=BA=AE[/tex]

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

[tex]BC=CD=DE=EB[/tex]

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:

[tex]BC=CD=DE=EB=BA=AE=6\ inches[/tex]

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

[tex]P=BC+CD+DE+AE+BA=\\\\P=6\ in+6\ in+6\ in+6\ in+6\ in\\\\P=30\ in[/tex]

Ver imagen luisejr77