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

`Area = 72in^2`

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 = (1)/(2) * base * height`

`Area_2 = (1)/(2) * (6in + 6in) * 4in`

`Area_2 = (1)/(2) * 12in * 4in`

`Area_2 = (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