Find the area of the quadrilateral whose vertices are

Given (0, 0), (6, 0), (4, 3), and (0, 3)

To Find: Find the area of quadrilateral.

Let us Assume A(x₁, y₁) = (0, 0)

Let us Assume B(x₂, y₂) = (6, 0)

Let us Assume C(x₃, y₃) = (4, 3)

Let us Assume D(x₄, y₄) = (0, 3)

Let us join Ac to from two triangles ∆ABC and ∆ACD

Now

Area of triangle

Then,

Area of given triangle ABC

= 9 Square units

Area of given triangle ABC

= 6 square units

Area of quadrilateral ABCD = Area of ABC + Area of ACD

= 9 + 6

Hence, Area = 15 sq units.