The area of a 2D form is the amount of space within its perimeter. The total area of the given figure is 57 inches².
What is an area?
The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
Let the given figure be divided into three parts. Such that the triangle on the left side or the bigger triangle is represented by A and the triangle on the right side of the smaller triangle is represented by B. The area of the given shape can be written as,
Area of triangle A = 1/2 × Height of triangle A × Base of the triangle A = 1/2 × 8 inches × 8 inches
= 32 inches²
Area of rectangle = Length × Breadth
= 5 inches × 2 inches
= 10 inches²
Area of triangle B = 1/2 × Height of triangle B × Base of the triangle B = 1/2 × 5 inches × 6 inches
= 15 inches²
Further, the total area of the shape can be written as,
Total area = 32 inches² + 10 inches² + 15 inches²
= 57 inches²
Hence, the total area of the given figure is 57 inches².
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