nerd1234
nerd1234 nerd1234
  • 06-10-2020
  • Mathematics
contestada

How to calculate the area of this?

How to calculate the area of this class=

Respuesta :

mhanifa
mhanifa mhanifa
  • 08-10-2020

Answer:

  • 1601 m²

Step-by-step 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
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