The area of the composite shape is 116 square cm
Here, we want to find the area of the composite shape
To find this, we need to get the simpler shapes
As can be see, we have a parallelogram, a triangle and a square
The parallelogarm's area can be calculated by multiplying the height (7 cm) by the base (10 cm)
We have its area as;
[tex]7\times10=70cm^2[/tex]For the square, we have its area as the square of its side
We have this as;
[tex]4\times4=16cm^2[/tex]For the triangle, its area is half the product of its base and height
We have this as;
[tex]\frac{1}{2}\times4\times15=30cm^2[/tex]The area of the composite shape is the sum of these;
[tex]=70cm^2+16cm^2+30cm^2=116cm^2[/tex]