1. Brackets Problems (3) - Gardens
Algebra

2. The path is 2 metres wide all the way round the garden1.
The diagrams show a garden consisting of a grassy
central area surrounded by a path.
Find an expression for
a) The area of the whole garden.
b) The area of the grass.
c) The area of the path. 2 12
Path
Grass x
The path is 2 metres wide all the way round the garden

3. The path is 3 metres wide all the way round the garden2.
The diagrams show a garden consisting of a grassy
central area surrounded by a path.
Find an expression for
a) The area of the whole garden.
b) The area of the grass.
c) The area of the path. 3
Path
Grass
x + 1
x + 6
The path is 3 metres wide all the way round the garden

4. 3. The diagrams show a garden consisting of a grassy
central area surrounded by a path.
Find an expression for
a) The area of the whole garden.
b) The area of the grass.
c) The area of the path.
Grass
Path
x + 8
x + 3 4 3
The path is 3m wide at the sides and 4m wide at the top and the bottom.

5. 4. The diagrams show a garden consisting of a grassy
central area surrounded by a path.
Find an expression for
a) The area of the whole garden.
b) The area of the grass.
c) The area of the path.
x + 9 2 x
Grass
Path 5
The path is 2m wide
at the top and the
bottom and 5m
wide at the sides.