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Find the area of the parallelogram, trapezoid, rhombus, or kite. Round to the nearest tenth, if necessary.
14 yd
7 yd
45°

Find the area of the parallelogram trapezoid rhombus or kite Round to the nearest tenth if necessary 14 yd 7 yd 45 class=

Respuesta :

mhanifa

Answer:

  • 69.3 yd²

Step-by-step explanation:

Area equation of the parallelogram

  • A = bh, where b- base, h - height

Looking at the picture, we can see the right triangle is isosceles as one of interior angles is 45°. It has hypotenuse of 7 and legs of h.

As per property of 45° right triangle the hypotenuse is √2 times the leg.

It gives us

  • h√2 = 7 ⇒ h = 7/√2 = 4.95 (rounded)

Now find the area

  • A = 14*4.95 = 69.3 yd²
  • sin45=H/7
  • H=7/√2
  • H=4.95yd

Area =

  • Base×Height
  • 4.95(14)
  • 69.3yd²

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