Respuesta :

Answer:

Proved;

See Explanation

Step-by-step explanation:

Given:

Shape: Parallelogram

Sides: b and c

Required:

Show that P = 2b + 2c

Let P represents the perimeter of the parallelogram.

There are 4 sides in a parallelogram where 2 sides are opposite and parallel

Given that two of the side of the parallelogram is b and c; this implies that the next two sides are also b and c.

This means that the sides of the parallogram are b,c,b,c

The perimeter of any shape is calculated by adding the lengths of the shape;

This means that

[tex]P = b + c + b + c[/tex]

Collect like terms

[tex]P = b + b + c + c[/tex]

[tex]P = 2b + 2c[/tex] ------ Proved