Question

How to find the areas of figure b, c, and d in question 1

Answer 1

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Find the area of a

The shape in a is a parallelogram and the area is given as:

$\begin{gathered} Area=base\cdot height \\ base=20cm \\ height=? \end{gathered}$

Find the height using the trigonometric ratios

$\begin{gathered} \theta=60,hypotenuse=10,height=opposite=? \\ Using\text{ SOH} \\ sin60=\frac{height}{10} \\ height=10\cdot\sin60 \\ height=10\cdot\frac{\sqrt{3}}{2}=5\sqrt{3} \end{gathered}$

Area of the figure in a is:

$20\cdot5\sqrt{3}=100\sqrt{3}cm^2$