Mathematics

Question

Plz show work if ya can so I can understand this thanks
Plz show work if ya can so I can understand this thanks

1 Answer

  • Answer:

    area = 57√3 cm²

    Step-by-step explanation:

    lower polygon:

    14-8 = 6, 6/2 = 3

    3 is the base of the lower left triangle

    cos 60° = 3/hypotenuse

    hypotenuse = 6

    height of triangle² = 6² - 3² = 45

    height of triangle² = 36 - 9 = 27

    height of triangle = √27 = √(9 x 3) = 3√3

    area of lower polygon = 1/2(8+14)(3√3) = 33√3 cm²

    upper parallelogram:

    area = 8(3√3) = 24√3 cm²

    total area = 24√3 + 33√3 = 57√3 cm²

NEWS TODAY