Answer:
[tex]Area = 40 ( 84)+ 2 *(294)[/tex]
Step-by-step explanation:
There is only one figure in the attached image and the solution (surface area) is as follows:
The shape can be sub-divided into:
1. Rectangle
Dimension: 40 by 35
2. Rectangle
Dimension: 40 by 28
3. Rectangle
Dimension: 21 by 40
4. 2 triangles
Base: 21 and Height: 28
Calculate area of each and add them up to get the surface area of the figure.
1. Rectangle
Dimension: 40 by 35
[tex]A_1 = 40 * 35[/tex]
2. Rectangle
Dimension: 40 by 28
[tex]A_2 = 40 * 28[/tex]
3. Rectangle
Dimension: 21 by 40
[tex]A_3 = 40 * 21[/tex]
4. 2 triangles
Base: 21 and Height: 28
[tex]A_4 = 2 * \frac{1}{2} * 21 * 28[/tex]
So, the area is:
[tex]Area = A_1 +...+A_4[/tex]
[tex]Area = 40 * 35 + 40 * 28 +40 * 21 + 2 * \frac{1}{2} * 21 * 28[/tex]
Factor out 40
[tex]Area = 40 ( 35 + 28 + 21 )+ 2 * \frac{1}{2} * 21 * 28[/tex]
[tex]Area = 40 ( 84)+ 2 * \frac{1}{2} * 21 * 28[/tex]
[tex]Area = 40 ( 84)+ 2 *(294)[/tex]
