Extending the garden

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Question 1Change answer

This task is about working out the length of fence needed for the perimeter around a garden.

Mr Rapson has an unusual diamond-shaped garden, with all its sides 5 m, as shown above in Diagram 1.

This task is about working out the length of fence needed for the perimeter around a garden.

Mr Rapson has an unusual diamond-shaped garden, with all its sides 5 m, as shown above in Diagram 1.

a) How much fencing would he need to go right around the garden? m

Mr Rapson extended the garden on one side up to the dotted lines, as shown in Diagram 2.

b) How much fencing would he now need to go right around the garden? m

Level:

Curriculum info:

Keywords:

Description of task:

Students calculate the length of fencing around a deck.

Learning Progression Frameworks

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within the Mathematics Learning Progressions Frameworks.

Answers/responses:

Diagnostic and formative information:

	Common errors	Likely calculation	Likely misconception
b)	34 30 28	4 × 5 + 2 × 7 4 × 5 + 2 × 5 4 × 7	Includes 2 sides that don't need fencing. Includes 2 extra sides and miscalculates additional dotted fences. Doubles the dotted fences – perimeter of a surrounding rectangle.