Samer's Wonderful cakes #1

In the village of Bellymore, there lived a great baker. Samer Sweetooth was his name and baking cakes was his fame. Pnomes came from far and wide to buy his delicious cakes.

One day Marlow Rectangle came to Samer’s bakery to buy a cake and said, "I would like a cherry cake with yellow icing for my birthday party. The cake has to be in the shape of a rectangle. Scratch a 4 x 5 grid of squares on the icing so that I will have lines to follow when I cut the cake."

Samer nodded his head and asked, "What kind of cookies do you want on the icing?" Marlow answered, "I want eight pecan cookies on the icing, four shaped like a star and four shaped like a crinkled circle."

Marlow thought for a moment and continued, "Four guests are coming to my party. I want them to share all of the cake equally. The four pieces of cake must be identical in shape. Each piece of cake must have one star cookie and one crinkled circle cookie on it."

"No problem", replied Samer, "Here is the cake you want. You should be able to cut four identical pieces of cake so that each piece has one star cookie and one crinkled circle cookie somewhere on it."

Marlow was puzzled when he saw his cake, "How many squares will be on each piece of cake? What is the shape of each identical piece of cake? Oh dear, oh dear, oh dear, so much to think about."

Samer smiled, "Solve your problem before your guests ask for a piece of cake."