Geometry: Understanding Area

Area in Geometry

• The area of an object is the size of its surface, which is the space that a flat object occupies.
• The area of a block is 1 cm x 1 cm, which is equal to 1 square centimeter.

Area Formulas

• Square: The area of a square is given by A = l x w, where l is the length and w is the width.
• Rectangle: The area of a rectangle is given by A = l x w, where l is the length and w is the width.
• Triangles: The area of a triangle is given by A = (b x h) / 2, where b is the base and h is the height.
• Circle: The area of a circle is given by A = πr^2, where π is the mathematical constant 3.14159 and r is the radius.
• Parallelogram: The area of a parallelogram is given by A = b x h, where b is the base and h is the height.
• Trapezium: The area of a trapezium is given by A = (a + b) x h / 2, where a and b are the two bases, and h is the height.

Solving Area Problems

• To find the area of a complex shape, break it down into smaller known shapes.
• Calculate the area of each shape using the corresponding formula.
• Add the areas of each shape to find the total area.

Real-Life Applications

• Example 1: Calculating the area of tiling around a swimming pool involves finding the area of the pool and adding the area of the tiling.
• Example 2: Calculating the total area to be tiled for a mosaic giraffe involves breaking down the shape into geometric parts and finding the area of each part.