Question

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

Answer 1

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=(height)/(10) \\ height=10\cdot\sin60 \\ height=10\cdot(√(3))/(2)=5√(3) \end{gathered}`

Area of the figure in a is:

`20\cdot5√(3)=100√(3)cm^2`