Shade is the general dark area that is protected from the sun:
It's so hot out - let's sit in the shade.
We brought an umbrella to the beach so that we could have some shade.
A shadow is the "shape" of an object or person that blocks the light. You can only have "shade" from the sun, but you can have a "shadow" from the sun OR other types of light, such as electric lights or candlelight.
My dog is afraid of his own shadow.
A lunar eclipse occurs when the moon passes through the earth's shadow.
We can also use the word shadows to refer to a dark area in general:
He jumped out from the shadows of the basement and scared me half to death.
This car is the successor of the MercedesBenz W220. Its protection level is B6/B7. It can protect from hand grenades and any other explosive charges. It has fireextinguishing system, selfsealing fuel tank, runflat tires and other protection facilities. It can run at 210kmph.