Question

Suppose a dart is tr

Answer 1

PTIOSOLUTION :

Step 1 :

In this question, we are meant to find the percentage of the shaded region.

To acheive this, we need to calculate the following:

`\begin{gathered} \text{Area of the triangle = }(1)/(2)\text{ x Base x Height} \\ \text{Base of the triangle = 12 cm} \\ \text{Height of the triangle = 12 cm} \\ \text{Area of the triangle = }(1)/(2)\text{ x 12 cm x 12 cm} \\ =\text{ }(144cm^2)/(2) \\ =72cm^2 \end{gathered}`

Step 2 :

`\begin{gathered} \text{Area of the Parallelogram = Base X Height} \\ \text{Base = 6 cm} \\ \text{Height = 3 cm} \\ \text{Area of the parallelogram = 6 cm x 3 cm} \\ =18cm^2 \end{gathered}`

Step 3 :

The area of the shaded region is as calculated as follows :

`\begin{gathered} \text{Area of Triangle - Area of Parallelogram} \\ =72cm^2-18cm^2 \\ =54cm^2 \end{gathered}`

Step 4 :

The percentage of the shaded region is calculated as follows :

`\begin{gathered} \frac{54^{}}{72}\text{ x }(100)/(1) \\ \\ =\text{ }(5400)/(72) \\ =\text{ 75 \%} \end{gathered}`

CONCLUSION:

The percentage of the shaded region is 75 % -------OPTION D