Question

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

Answer 1

Answer: (b)- 41.57

Explanation:

Given

Dimension of Parallelogram is

`\text{base b=8\ units}`

`\text{length l=6 units}`

The area of a parallelogram is given by

`\Rightarrow A=b* h`

we need height for the area

From the figure, we can write

`\Rightarrow \cos 30^(\circ)=(AB)/(6)\\\\\Rightarrow AB=6\cos 30^(\circ)=5.196`

and AB is the height of the parallelogram

`\Rightarrow A=8* 5.196=41.569\approx 41.57`