This task is about expanding and simplifying algebraic expressions.
Awhina has a path around her lawn as shown in the diagram above. All measurements are given in metres.
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a) |
The area of the lawn can be written as x(x + 5). Expand x(x + 5) |
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b) |
The area of the path and the lawn combined can be written as (x + 2)(x + 7). Expand and simplify (x + 2)(x + 7)
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c) |
If the lawn was made 3 metres longer and 3 metres wider, the area of the path can be written as: (x + 5)(x + 10) - (x + 3)(x + 8) Expand and simplify (x + 5)(x + 10) - (x + 3)(x + 8). |