honeybee958
honeybee958 honeybee958
  • 22-03-2021
  • Mathematics
contestada

CAN SOMEONE TELL ME THE AREA PLEASE

CAN SOMEONE TELL ME THE AREA PLEASE class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 27-03-2021

Answer:

1.3 m²

Step-by-step explanation:

The shape is a trapezoid.

Area of a trapezoid = ½(a + b)*h

Where, a = 0.8 m

b = 1.8 m

h = height of the trapezoid which is not given.

Therefore, find h using trigonometric function with 45° as reference angle:

Hypotenuse = 1.4 m

Opposite = h

Apply SOH, which is:

Sin 45 = Opp/Hyp

Sin 45 = h/1.4

1.4*Sin 45 = h

0.989949493 = h

h ≈ 1.0 m

✔️Area of Trapezoid = ½(0.8 + 1.8)*1 = 1.3 m²

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