1. **Problem 1: Find the area of the shaded part in the rectangle.** The rectangle is divided into three parallelograms by two diagonal parallel lines. The total length of the bottom side is $4 + 1 = 5$ cm, matching the top side length of 5 cm. The height of the rectangle is 3 cm. The three parallelograms have areas 21 cm², 18 cm², and 9 cm² respectively, but the shaded part corresponds to the middle parallelogram with area 18 cm². **Answer for Problem 1:** The area of the shaded part is $18$ cm². 2. **Problem 2: A person saw a herd of cows and said, "If I own a similar herd and half of it, in addition to the cow which I already own, I will have 100 cows. How many cows are there in the herd?** Let the number of cows in the herd be $x$. The person owns $x$ cows (a similar herd) plus half of $x$ cows, plus 1 cow already owned. This gives the equation: $$x + \frac{x}{2} + 1 = 100$$ Multiply both sides by 2 to clear the fraction: $$2x + x + 2 = 200$$ Simplify: $$3x + 2 = 200$$ Subtract 2 from both sides: $$3x = 198$$ Divide both sides by 3: $$x = 66$$ **Answer for Problem 2:** There are $66$ cows in the herd.