Perimeter and Area

A Quiet Look at Area

How many blocks get covered? How do we Measure Area? How many blocks get covered?

Area of a Rectangle Area = 8 . . . Area = 8 × 4 = 32 units2

Area of a Rectangle n m Area of rectangle = m × n

Area of a Parallelogram Area of parallelogram = b × h height base Area of parallelogram = b × h Note: height NOT side

Area of parallelogram = b × h Area of a Triangle h b Area of parallelogram = b × h Area of triangle = ½ b × h

Area of a Triangle h b Area of parallelogram = b × h Area of triangle = ½ b × h Be careful – this is NOT part of the base.

Area of trapezium = ½ (m + n) × h Area of parallelogram = (m + n) × h Area of a Trapezium n h m n Area of trapezium = ½ (m + n) × h Area of parallelogram = (m + n) × h

Area of kite = (diagonal 1) × ½ (diagonal 2) Area of a Kite ½d2 d2 d1 d1 d1 Area of kite = (diagonal 1) × ½ (diagonal 2) = ½ d1 × d2

Area of a Square ½ d iagonal Area of square = ½ d × ½ d + ½ d × ½ d

Area of a Rhombus 2 × Area of rhombus = d1 × d2

The resulting rectangle has a perimeter of 26 units. One side of a square is increased by 3 units while the adjacent side is decreased by 2 units. The resulting rectangle has a perimeter of 26 units. What is the area of the square?

Decide why each could be the odd one out.