Question

What is the area of this shape

Answer 1

The given shapes area is found to be 132 square feet.

Step-by-step explanation:

Step 1; To determine the area of an indefinite shape we must divide it into the shapes that we know. The shape that is given can be split into a rectangle with a triangle on top of it.

Step 2; To determine the area occupied by a different shape, we must sum the areas of the triangle and the rectangle. The given rectangle measures a length of 11 feet and a width of 9 feet. The area of any given rectangle is the multiplication of its length and width. Area of Rectangle = Length * Width = 11 feet * 9 feet = 99 square feet.

Any given triangles area is half the multiplication of its base value and its height value. In the given diagram, the base of the triangle measures a length of 11 feet (same as the rectangle's length) and the length from base to top is 6 feet (Entire shape's height which is 15 feet - the calculated value of the rectangle's width which is 9).

Area of Triangle = $\frac{1}{2}$* base * height = $\frac{1}{2}$ * 11 feet * 6 feet = 33 square feet.

Step 3; To find the total area of the shape we must add the areas of the rectangle and the triangle.

Area of given shape = Area of rectangle + Area of Triangle

Area of given shape = 99 square feet + 33 square feet = 132 square feet.