Answer:
10,000 square meters.
Step-by-step explanation:
First, let's split this shape into a rectangle and a triangle to make it easier.
<em>Rectangle:</em>
A = bh
We know the base is 120m and the height is 30m. So simply plug those into the equation.
A = (120)(30) = <em>3,600 square meters.</em>
<em>Triangle:</em>
A = 1/2bh
Since we split the shape up, we have to calculate the triangles base and height.
To find the base, take the 120 and subtract the 40, giving us 80.
To find the height, take the 190 and subtract the 30, giving us 160.
Now take those numbers and plug them into the equation.
A = 1/2(80)(160) = 1/2(12,800) = <em>6,400 square meters.</em>
<em>Total:</em>
Simply add the area of the rectangle to the area of the triangle to find the area of the entire shape.
A = 3,600 + 6,400 = 10,000 square meters.
