Respuesta :

The area of the shape is;

[tex]90cm^2[/tex]

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;

[tex]8\text{ }\times10=80cm^2[/tex]

The area of the triangle is product of its base and height, divided by two

We have this as;

[tex]\frac{1}{2}\times5\times4=10cm^2[/tex]

The area of the shape is the sum of these areas

We have this as;

[tex]80cm^2+10cm^2=90cm^2[/tex]