Finding Areas of Polygons and Shapes

In this lesson, students learn how to find the area of polygons by breaking them into simpler shapes like triangles and parallelograms. The teacher provides three examples, demonstrating how to calculate the area of each shape and then sum them to find the total area of the polygon. The lesson emphasizes using formulas for area calculation and combining results for complex shapes.

What is the essential question for finding the area of a polygon in this lesson?

• How to determine the angles of a polygon?

• How to calculate the volume of a polygon?

• How to find the area of a polygon by breaking it into simpler shapes?

• How to find the perimeter of a polygon?

In the first example, what two shapes is the polygon divided into?

• Two parallelograms

• Two triangles

• A rectangle and a triangle

• A triangle and a parallelogram

What is the formula used to find the area of a parallelogram?

• Area = base x height

• Area = base + height

• Area = 1/2 x base x height

• Area = base x base

How do you find the base of the triangle in the first example?

• By dividing the base of the parallelogram by two

• By doubling the base of the parallelogram

• By subtracting the used base from the total base

• By adding the base of the parallelogram

What is the final area of the polygon in the first example?

• 136 cm²

• 112 cm²

• 103 cm²

• 24 cm²

In the second example, what is the base of the triangle?

• 6 inches

• 5 inches

• 4 inches

• 3 inches

What is the total area of the polygon in the second example?

• 20 inches²

• 32 inches²

• 12 inches²

• 42 inches²

In the third example, how is the base of the smaller parallelogram determined?

• By dividing the total length by two

• By adding the lengths of both parallelograms

• By using the given base of the smaller parallelogram

• By subtracting the height from the total length

What is the total area of the polygon in the third example?

• 42 cm²

• 12 cm²

• 24 cm²

• 30 cm²

What is the final step in finding the area of a polygon after calculating the areas of individual shapes?

• Divide the areas

• Add the areas

• Multiply the areas

• Subtract the areas