1. Draw a square with the same area as an equilateral triangle whose side length is 7 cm.

2. Draw a rectangle with a length of 7 cm and a width of 4 cm; now draw a square with the same area as that rectangle. (Only the construction marks are required.)

3. Draw a rectangle with sides of 8 cm and 6 cm, and then draw a square having the same area as that rectangle. (Only construction marks are required.)

4. Determine the value of \(2\sqrt{7}\) geometrically. (Only construction marks are required)

5. Determine the geometric mean between 12 cm and 3 cm using a geometric construction method. (In both cases, only construction markings are required.)

6. Determine the value of \(2\sqrt{3}\) using a geometric method. (Only provide the construction diagram.)

7. Draw the mean proportional between two line segments of lengths 4 cm and 3 cm.

8. Find the value of \(\sqrt{21}\) using a geometric method. (Only the construction diagram needs to be provided.)

9. Draw a square having the same area as a rectangle of length 10 cm and width 5 cm. (Only construction marks are required.)

10. Find the value of √35 using a geometric method. (Only construction marks are required.)

11. Determine the value of \(\sqrt{15}\) using a geometric method. (Only provide the construction steps or diagram labels.)