The area of the shape is;
![90cm^2](https://img.qammunity.org/2023/formulas/mathematics/college/hz3ln2ucgsnhinzl6tdc83x6g83wg2oko4.png)
Here, we to get the area of the shape
To do this, we will need to divide the shape into fragments
By completing the line, we have the fragments as follows;
A rectangle that measures 8 cm by 10 cm
And;
A triangle of base 4 cm and height of 5 cm
The area of the rectangle is the products of its two sides
We have this as;
![8\text{ }*10=80cm^2](https://img.qammunity.org/2023/formulas/mathematics/college/bpnqym85lz2as41glxguqvycas960oqfr5.png)
The area of the triangle is product of its base and height, divided by two
We have this as;
![(1)/(2)*5*4=10cm^2](https://img.qammunity.org/2023/formulas/mathematics/college/cvnaxdu730shl5m5tjxbyvop9pz9gd9iu4.png)
The area of the shape is the sum of these areas
We have this as;
![80cm^2+10cm^2=90cm^2](https://img.qammunity.org/2023/formulas/mathematics/college/th934npbhaqf0foutcw0lwn8cc092pgmpe.png)