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  • 03-04-2021
  • Mathematics
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Calculate the Area of the Following Parallelogram. Round your answer to the
nearest hundredth.

Calculate the Area of the Following Parallelogram Round your answer to the nearest hundredth class=

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  • 08-04-2021

Answer: (b)- 41.57

Step-by-step explanation:

Given

Dimension of Parallelogram is

[tex]\text{base b=8\ units}[/tex]

[tex]\text{length l=6 units}[/tex]

The area of a parallelogram is given by

[tex]\Rightarrow A=b\times h[/tex]

we need height for the area

From the figure, we can write

[tex]\Rightarrow \cos 30^{\circ}=\dfrac{AB}{6}\\\\\Rightarrow AB=6\cos 30^{\circ}=5.196[/tex]

and AB is the height of the parallelogram

[tex]\Rightarrow A=8\times 5.196=41.569\approx 41.57[/tex]

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