Answer:
90 in^2
Step-by-step explanation:
Break the diagram in two shapes i.e. rectangle and triangle.
The rectangle sides are 10 inch and 8 inch.
The are of Rectangle can be found by the formula
Area of Rectangle = length(L) * Breadth(B)
Area of Rectangle = 10*8
Area of Rectangle = 80 in^2
Now for triangle,
Total Base = 13, Breadth of rectangle is 8 inch so the base of triangle = 13 - 8 = 5
The height of triangle = 10 - 6 = 4 inch
The formula of area is:
Area Of triangle = (Height * Base)/2
Area of Triangle = (4 * 5)/2
Area of Triangle = 20/2
Area of Triangle = 10 in^2
Total area of the shape = Area of rectangle + Area of triangle
Total area of the shape = 80 + 10
Total area of the shape = 90 in^2
