GCSE Maths - How to find the Area of Compound Shapes #106

The video tutorial explains how to find the area of complex shapes by dividing them into simpler shapes like rectangles, triangles, parallelograms, and trapeziums. It provides two examples: one involving a rectangle and a triangle, and another involving a rectangle and a trapezium. The tutorial emphasizes using known formulas for these simple shapes to calculate the total area of the compound shape.

What is the main challenge with finding the area of composite shapes?

• They have too many sides.

• They are too large to measure.

• They lack specific formulas.

• They are always irregular.

How do you calculate the area of a rectangle?

• 1/2 times base times height

• Sum of all sides

• Base times height

• Length times width

In the example with the rectangle and triangle, what was the height of the triangle?

• 4 cm

• 3 cm

• 7 cm

• 5 cm

What is the formula for finding the area of a trapezium?

• Length times width

• Base times height

• (a + b) / 2 times height

• 1/2 times base times height

In the second example, what was the total area of the composite shape?

• 150 cm²

• 205 cm²

• 180 cm²

• 25 cm²