2. Brackets Problems (3b) - Gardens, Patios and Ponds. Algebra

3. 1. A garden consists of an area of grass surrounded by a path. The path is 2m wide at the sides and 3m wide at the top and bottom. Find an expression for a) The area of the whole garden. b) The area of the grass. c) The area of the path. Path Grass2 3 x -2 x+5 2. A garden pond is surrounded by a path. The path is 4m wide all the way round. Find an expression for a) The area of the whole. b) The area of the pond. c) The area of the path Path Pond 4 x+9 x+7

4. 3. A garden consists of grass with a rectangular patio area near the centre of the garden as shown in the diagram. Find an expression for a) The area of the whole garden. b) The area of the patio. c) The area of the grass. Patio 3 2 6 x+5 x+ 8 2 Grass 4. The diagram shows a patio area surrounded by paving stones. Find an expression for The area of the whole. The area of the patio. The area of the paving stones. 7 2 Paving Area Patiox+6 x+12 2 3

5. 5. The diagram shows a large garden with a child’s play area in the middle. The play area is square in shape. Find an expression for a) The area of the whole garden. b) The area of the ‘play area’. c) The area of grass. 2 Play area x+9 Grass x+1 2