Question

A maritime flag is shown. What is the area of the shaded part of the flag? Explain
or show your reasoning.
8 in
6 in
6 in
4 in

Answer 1

Answer:

$Area = 72in^2$

Step-by-step explanation:

Your question is incomplete without an attachment (See attachment)

Required

Determine the area of the shaded part

From the attachment;

Assume that the shaded portion is closed to the right;

Calculate  the Area:

$Area_1 = Length * Width$

$Area_2 = 8in * (6in + 6in)$

$Area_2 = 8in * 12in$

$Area_1 = 96in^2$

Next;

Calculate the Area of the imaginary triangle (on the right)

$Area_2 = \frac{1}{2} * base * height$

$Area_2 = \frac{1}{2} * (6in + 6in) * 4in$

$Area_2 = \frac{1}{2} * 12in * 4in$

$Area_2 = \frac{1}{2} * 48in^2$

$Area_2 = 24in^2$

Lastly, calculate the Area of the Shaded Part

$Area = Area_1 - Area_2$

$Area = 96in^2 - 24in^2$

$Area = 72in^2$

Hence,

The area of the shaded part is 72in²