The distance around an enclosed shape is called the perimeter. The amount of space enclosed inside a shape is called the area.
Area of a rectangle base height Area of rectangle = base × height
Area of a triangle base Area of triangle = ½ × base × height height
Area of a parallelogram A parallelogram can be made into a rectangle. base height Area of parallelogram = base × height
Area of a trapezium Two identical trapeziums can be made into a parallelogram. a h Area of parallelogram = ½ (a + b) h b b a
10 8 Examples 1 Find a the perimeter b the area of the shape. All lengths are in cm a b
10 cm 3 cm Examples 2 Find the area of the parallelogram.
6 cm 4 cm Examples 3 Find the area of the triangle.
Examples 4 Find the area of the trapezium. All lengths are in cm
Examples 5 The area of the trapezium is 24 cm 2. Find the value of x. 2x+3 4 cm x