Answer:
150 m²
Step-by-step explanation:
The given figure is made up of a rectangle and a triangle.
The area of a triangle is half the product of its base and height, and the area of a rectangle is the product of its width and length.
The dimensions of the rectangle are 5 m × 12 m. The base of the triangle is 12 m, and its height is equal to the width of the figure less the width of the rectangle, so 20 m - 5 m = 15 m.
Therefore, the area of the figure can be calculated as follows:
[tex]\textsf{Area of figure}=\textsf{Area of triangle}+\textsf{Area of rectangle}\\\\\\\textsf{Area of figure}=(5 \times 12)+\left(\dfrac{1}{2} \times 12 \times 15\right)\\\\\\\textsf{Area of figure}=60+90\\\\\\\textsf{Area of figure}=150\; \sf m^2[/tex]
So, the area of the figure is:
[tex]\Large\boxed{\boxed{150\; \sf m^2}}[/tex]