The shaded region on the diagram represents a garden - HSC - SSCE Mathematics Standard - Question 27 - 2020 - Paper 1

To apply the trapezoidal rule, we first need to determine the dimensions represented in the graph. According to the scale, 1 cm corresponds to 5 m. We identify the bases and height for the trapezoids from the graph:

• Base 1 (top): 25 m (5 cm)
• Base 2 (bottom): 20 m (4 cm)
• Side lengths: 20 m (4 cm) each.

Now, we can create the two trapezoids as follows:

1. First trapezoid: 25 m and 20 m width across 20 m height.

   $ext{Area}_1 = \frac{1}{2} \times (25 + 20) \times 20 = \frac{1}{2} \times 45 \times 20 = 450 ext{ m}^2$

2. Second trapezoid: 20 m width across 20 m height.

   $ext{Area}_2 = \frac{1}{2} \times (20 + 20) \times 20 = \frac{1}{2} \times 40 \times 20 = 400 ext{ m}^2$

Finally, we add both areas together:

$ext{Total Area} = 450 + 400 = 850 ext{ m}^2$