Question

a maritime flag is shown what is the shaded part of the flag

Answer 1

Answer:

72 in²

Explanation:

We can divide the region into parts as:

Now, we can calculate the area of the 1st part as:

$\text{Area}_1=\text{Base}\cdot\text{Height = 4 in }\cdot(6in+6in)=48in^2$

Because it is a rectangle.

In the same way, we can calculate the area of the 2nd and 3rd parts as a triangle with a base equal to 4 in and height equal to 6 in. Then:

$\text{Area}_2=\frac{Base\cdot Height}{2}=\frac{4\text{ in }\cdot\text{ 6 in}}{2}=12in^2$$\text{Area}_3=\frac{Base\cdot Height}{2}=\frac{4\text{ in }\cdot\text{ 6 in}}{2}=12in^2$

Therefore, the total area of the maritime flag is:

$\begin{gathered} \text{Area}_1+\text{Area}_2+\text{Area}_3 \\ 48in^2+12in^2+12in^2 \\ 72in^2 \end{gathered}$

So, the answer is 72 in²