ABCD-square with a side of 4cm. On the sides AB and CD are the segments AM and KC so that AM

ABCD-square with a side of 4cm. On the sides AB and CD are the segments AM and KC so that AM = KC = 3cm. Find the perimeter of the quadrangle MBKD.

1. Р – perimeter of the quadrilateral MVKD.

2. P = BM + BK + DK + DM.

3. We calculate the length of the side ВK of the quadrilateral MВKD, applying the formula of the theorem

Pythagoras.

ВK = √BC² + СK² = √4² + 3² √16 + 9 √25 = 5 centimeters.

4. To calculate the length of the side DМ of the quadrilateral MВKD, we also apply the formula of the Pythagorean theorem:

DМ = √AD² + AM² = √4² + 3² √16 + 9 √25 = 5 centimeters.

5. ВM = AB – AM = 4 – 3 = 1 centimeter.

6. DK = CD – СK = 4 – 3 = 1 centimeter.

7.P = 1 + 5 + 1 + 5 = 12 centimeters.