7. Variant 1. On a rectangular plot measuring $5 \times 6$ meters, there is a triangular flower bed (see figure). Find the area of this flower bed (in square meters).

![](https://cdn.mathpix.com/cropped/2024_05_06_7eebe7f078c503a48a3eg-6.jpg?height=377&width=461&top_left_y=1161&top_left_x=802)
Answer: 10.

Solution. The area of the flower bed can be calculated as the difference between the area of the plot and the sum of the areas of the two triangular parts not occupied by the flower bed:

![](https://cdn.mathpix.com/cropped/2024_05_06_7eebe7f078c503a48a3eg-6.jpg?height=309&width=390&top_left_y=1800&top_left_x=865)

1) $(6 \cdot 5): 2=15\left(\mathrm{m}^{2}\right)-$ area of the red part
2) $(5 \cdot 2): 2=5\left(\mathrm{m}^{2}\right)-$ area of the blue part
3) $5 \cdot 6=30\left(\mathrm{~m}^{2}\right)-$ area of the plot
4) $30-15-5=10\left(\mathrm{~m}^{2}\right)-$ area of the flower bed