Work out the area of the hexagon.

Answer

To find the area of the hexagon, we can break the hexagon into shapes whose areas we can calculate. The hexagon consists of a rectangle and two identical triangles. 1. **Calculate the area of the rectangle:** - The rectangle's length is 10 cm (given) - The rectangle's width is 7 cm (given) - Area of the rectangle = length × width = 10 cm × 7 cm = 70 cm² 2. **Find the area of one triangle:** - Each triangle has a base of 10 cm (the same as the length of the rectangle). - The height of each triangle is 6 cm (the vertical measurement given). - Area of one triangle = (1/2) × base × height = (1/2) × 10 cm × 6 cm = 30 cm² 3. **Calculate the total area of the two triangles:** - Total area of two triangles = 30 cm² + 30 cm² = 60 cm² 4. **Add the areas together to get the total area of the hexagon:** - Total area = Area of rectangle + Total area of triangles = 70 cm² + 60 cm² = 130 cm² Therefore, the area of the hexagon is **130 cm²**.