Explain how you would find that area of this composed shame and what is the area of this shape.the top is 8 centimeters the bottom is 6 cm the right side is 6 cm the left side is 3 cm then 2 cm and 3 cm
To find the area of the shape, we need to break it down into smaller, simpler shapes and then sum up their areas.
First, let's break the shape into two rectangles. The top rectangle has a length of 8 cm and a width of 6 cm, while the bottom rectangle has a length of 6 cm and a width of 6 cm.
The area of the top rectangle is 8 cm multiplied by 6 cm, which equals 48 square cm.
The area of the bottom rectangle is 6 cm multiplied by 6 cm, which equals 36 square cm.
Now, let's focus on the remaining shape, which is a trapezoid. The trapezoid has a height of 6 cm, and the lengths of its parallel sides are 3 cm (left side) and 2 cm (right side).
To find the area of the trapezoid, we use the formula: Area = (a + b) * h / 2, where a and b are the lengths of the parallel sides, and h is the height.
Substituting the given values: Area = (3 cm + 2 cm) * 6 cm / 2 = 5 cm * 6 cm / 2 = 30 square cm.
Finally, to find the total area of the shape, we sum up the areas of the rectangles and the trapezoid:
48 square cm + 36 square cm + 30 square cm = 114 square cm.
Therefore, the area of the composed shape is 114 square cm.