Question

How to calculate the area of this?

Answer 1

• 1601 m²

Explanation:

Split the quadrilateral into 2 triangles as pictured

One of them is right triangle with 2 sides known

The third side is the hypotenuse and is:

• √(60²+25²) = √4225 = 65 m

Total area is the sum of the areas of the 2 triangles

• A= A1 + A2

Area 1

• A1 = 1/2*15*60 = 750 m²

Use Heron's formula for the second triangle:

• A2 = 1/4√(65 + 64 + 27)(-65 + 64 + 27)(65 - 64 + 27)(65 + 64 - 27) ≈ 851m²

Total area

• A = 750 + 851 = 1601 m²