Area of Composite Figures

How can you find the area of a composite shape? Using the drawing tools, draw lines to divide the shape below into simpler geometric shapes such as rectangles, triangles, squares, parallelograms, trapezoids, or circles. Describe how you would find the area of the entire figure above. 1) Draw in lines to divide the given composite figure into rectangles, triangles, parallelograms, trapezoids, and semi-circles. If you want to erase something, select the item you want to erase and then press the trash can. Formulas for circumference of circles and area of polygons and circles. Find the area of the semicircle. 314 sq units 157 sq units 628 sq units 2) The figure below has been divided into two familiar shapes. Use the formula chart to find the area of each simpler shape. Area of the left rectangle. 12.5 Area of the right rectangle. 13.5 Area of the composite shape. 26 3) The figure below has been divided into three familiar shapes. Use the formula chart from above to find the area of each simpler shape. Then find the composite area. Area of Triangle 2.5 Area of middle rectangle 7.5 Area of right rectangle 10 Area of composite figure 20 4) The composite figure below is made up of two familiar shapes. Use the formula chart from above to find the area of each simple shape. Then find the area of the composite shape. Use 3.14 for pi when finding the area of the semi-circle. Don't forget, a semi-circle is half of a whole circle. Round your answer to the nearest tenth. Area of rectangle 15 Area of Semi-circle 7.1 Area of composite figure 22.1 5) The composite shape is made up of three familiar shapes. Use the formula chart above to find the area of each simple shape. Then find the composite area. Round your answers to the nearest whole centimeter. Area of left square 6 Area of triangle 3 Area of right square 12 Area of Composite figure 21 6) A tile installer plots an irregular shape on grid paper. Each square on the grid paper represents 1 square cm. What is the area of the irregular shape? STEP 1) Separate the figure into a triangle, a rectangle, and a parallelogram.STEP 2) Find the area of each figure. Triangle: 4 square cm; rectangle 15 square cm; parallelogram 15 square cm.STEP 3) Find the area of the composite figure 4 + 15 + 15 = 34 square cm.