Question

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

Answer 1

Answer: (b)- 41.57

Step-by-step explanation:

Given

Dimension of Parallelogram is

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

$\text{length l=6 units}$

The area of a parallelogram is given by

$\Rightarrow A=b\times h$

we need height for the area

From the figure, we can write

$\Rightarrow \cos 30^{\circ}=\dfrac{AB}{6}\\\\\Rightarrow AB=6\cos 30^{\circ}=5.196$

and AB is the height of the parallelogram

$\Rightarrow A=8\times 5.196=41.569\approx 41.57$