The figure can be composed of different shapes.

What shapes can the figure be decomposed into to find the area? What is the area?
A. one triangle and one square; 24 square feet
B. one triangle and one rectangle; 30 square feet
C. two triangles and one square; 36 square feet
D. two triangles and one rectangle; 42 square feet

The figure can be composed in to one triangle and one rectangle and the area is 30 square feet.

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Given is a figure.

We can divide the figure in to one triangle and one rectangle by drawing a vertical line.

Area of a rectangle = Length × Width

Here, length = 8 feet and width = 3 feet

Area of rectangle = 8 × 3 = 24 feet²

Area of a triangle = [tex]\frac{1}{2}[/tex] × base × height

Base = 12 - 8 = 4 feet and height = 3 feet

Area of triangle = [tex]\frac{1}{2}[/tex] × 4 × 3 = 6 feet²

Total area = 24 feet² + 6 feet² = 30 feet²

Hence the area is 30 feet².

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