Find the area of the quadrilateral whose vertices are

Given (-5, 7), (-4, -5), (-1, -6) and (4, 5)

To Find: Find the area of quadrilateral.

Let us Assume A(x₁, y₁) = (-5, 7)

Let us Assume B(x₂, y₂) = (-4, -5)

Let us Assume C(x₃, y₃) = (-1, -6)

Let us Assume D(x₄, y₄) = (4, 5)

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

Now

Area of triangle

Then,

Area of given triangle ABC

Area of given triangle ABC

= 56 square units

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

Hence, Area sq units.