Question 1: Calculate the perimeter of a rectangle that measures 8 cm by 5 cm using breaking down techniques.

Answer: 26

Question 2: A shape is composed of a rectangle (10 cm by 4 cm) and a square (4 cm sides) joined along one side. Break down the shape to find its total perimeter.

Answer: 36

Question 3: Using breaking down, find the perimeter of an L-shaped figure made of two rectangles: one 6 cm by 4 cm and another 4 cm by 3 cm joined along a 4 cm side.

Answer: 22

Question 4: Plot the graph of y = 2x for x from 0 to 5. (Students draw on grid)

Answer: Points: (0,0), (1,2), (2,4), (3,6), (4,8), (5,10)

Question 5: Construct a triangle with sides 5 cm, 7 cm, and 9 cm, then break it into simpler shapes to find its perimeter.

Answer: 21

Question 6: A composite shape consists of a rectangle (12 cm by 6 cm) and a triangle on top with a base of 12 cm and height 4 cm. Break down the shape to find its perimeter.

Answer: 36

Question 7: A complex shape is made of three rectangles connected along their sides. The largest rectangle is 15 cm by 8 cm, and the smaller ones are 5 cm by 8 cm and 3 cm by 8 cm. Break down for perimeter calculation.

Answer: 46

Question 8: Identify and correct the mistake: A student calculated the perimeter of a shape as 30 cm by adding all sides directly, ignoring overlaps. Explain and correct the perimeter.

Answer: Perimeter should account for the shape's outer boundary only; overlapping sides are not counted twice.

Question 9: A shape consists of a rectangle (10 cm by 6 cm) with a semicircular end of radius 3 cm attached. Break down to find the total perimeter, including the curved part.

Answer: 29.4

Question 10: Challenge: A complex L-shaped figure is composed of two rectangles: 8 cm by 3 cm and 5 cm by 3 cm, joined along their 3 cm sides. Break down into parts and find the perimeter with minimal overlap confusion.

Answer: 24

Question 11: Extension: A garden shape is a rectangle 20 m by 10 m with an attached semicircular pond of radius 5 m along one side. Find the total fencing length needed, breaking down the perimeter of the whole shape.

Answer: 70.7