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Naddika [18.5K]
2 years ago
11

Find the area of the parallelogram, trapezoid, rhombus, or kite. Round to the nearest tenth, if necessary.

Mathematics
1 answer:
Sergeeva-Olga [200]2 years ago
4 0

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
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