Grid Shapes Percent 6C6E98
1. Problem 3.4: Draw two straight lines on a grid of small squares to form two squares of different sizes and 4 rectangles.
Step 1: Understand the problem. We need to draw two lines that intersect the grid to create two squares of different sizes and four rectangles.
Step 2: Since the grid is made of small squares, drawing one vertical and one horizontal line inside the grid can create smaller squares and rectangles.
Step 3: For example, draw one vertical line cutting through some columns and one horizontal line cutting through some rows.
Step 4: This will divide the grid into 6 parts: 2 squares (one larger, one smaller) and 4 rectangles.
Step 5: The exact drawing depends on the grid size, but the principle is to place lines so that the intersection forms the required shapes.
2. Problem 3.5: Calculate the percentage of students who play football.
Step 1: Given the table:
| | Boys | Girls | Total |
|-----------|------|-------|-------|
| Cricket | 41 | ? | 69 |
| Football | 27 | ? | 95 |
| Total | ? | ? | ? |
Step 2: Find the number of girls playing cricket:
$$\text{Girls Cricket} = 69 - 41 = 28$$
Step 3: Find the number of girls playing football:
$$\text{Girls Football} = 95 - 27 = 68$$
Step 4: Calculate total students:
$$\text{Total Students} = 69 + 95 = 164$$
Step 5: Calculate percentage of students playing football:
$$\text{Percentage} = \frac{95}{164} \times 100 \approx 57.93\%$$
Answer: Approximately 57.93% of the students play football.