1. 1
   A gardener is calculating the area and perimeter of a rectangular lawn measuring 12 m by 7 m, and a triangular flower bed alongside it.

   (a)

   A rectangular lawn measures 12 m by 7 m. Find its area.

   [1 mark]

   • A$84$ m$^2$
   • B$38$ m$^2$
   • C$19$ m$^2$
   • D$168$ m$^2$

   (b)

   Find the perimeter of the same rectangular lawn.

   [1 mark]

   • A$76$ m
   • B$84$ m
   • C$19$ m
   • D$38$ m

   (c)

   A triangular flower bed alongside the lawn has base 6 m and height 4 m. Find its area, using $\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$.

   [1 mark]

   • A$24$ m$^2$
   • B$12$ m$^2$
   • C$10$ m$^2$
   • D$48$ m$^2$

   Total for question 1: 3 marks

2. 2
   A tiler is calculating areas of a parallelogram-shaped tile (base 15 cm, height 8 cm) and a trapezium-shaped tile for a mosaic pattern.

   (a)

   A parallelogram-shaped tile has base 15 cm and perpendicular height 8 cm. Find its area.

   [2 marks]

   (b)

   A trapezium-shaped tile has parallel sides of length 10 cm and 14 cm, and a perpendicular height of 6 cm. Find its area, using $\text{Area} = \frac{1}{2}(a+b)h$.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   A builder is calculating the floor area and skirting board length needed for an L-shaped room, formed from a 9 m by 6 m rectangle with a 3 m by 2 m rectangular corner removed.

   (a)

   A room floor is an L-shape formed from a large rectangle 9 m by 6 m with a smaller rectangular corner of 3 m by 2 m removed. Calculate the area of the L-shaped floor.

   [3 marks]

   (b)

   Skirting board is needed around the full perimeter of the L-shaped floor. Calculate the total perimeter of the room.

   [3 marks]

   Total for question 3: 6 marks

4. 4
   A civil engineer is designing a car park as a compound shape: a rectangle 40 m by 25 m, with a semicircular section of diameter 25 m attached to one of the 25 m ends, and a small triangular flower bed cut from one corner.

   (a)

   A car park is a compound shape made from a rectangle measuring 40 m by 25 m, with a semicircular section of diameter 25 m attached to one of the 25 m ends. Calculate the area of the rectangular section, and the area of the semicircular section (use $\pi = 3.142$).

   [4 marks]

   (b)

   A triangular flower bed with base 5 m and height 4 m is cut from one corner of the rectangular section. Calculate the total area of the car park (rectangle plus semicircle, minus the triangular flower bed), giving your answer to 1 decimal place.

   [4 marks]

   (c)

   The car park's total area (from part (b)) needs to be converted for a report requiring the answer in cm$^2$. Convert $1235.5$ m$^2$ to cm$^2$, showing your conversion factor clearly.

   [5 marks]

   Total for question 4: 13 marks

End of questions