Study the adjoining picture and answer the following questions:

The area of ΔABF is.

90 m²

The correct answer is Option 2: 90 m²

From the figure:

• The base BF = 10 m (horizontal distance from the vertical line through B to point F).

• The height AB = 18 m.

The height is obtained from the diagram:
A to G = 12 m and G to B = 6 m, therefore

AB = 12 + 6 = 18 m

Using the triangle area formula:

Area of triangle
= 1/2 × base × height

Area of ΔABF
= 1/2 × 10 × 18
= 90 m²