Area and Composite Shapes Concepts

This lesson explains composite shapes and how to calculate their areas by breaking them into simpler parts. It provides examples of composite shapes made from rectangles, triangles, half circles, and circles with cutouts. The lesson demonstrates using formulas to find the area of each part and combining them to find the total area.

What is a composite shape?

• A shape that cannot be divided into simpler parts

• A shape made up of multiple simpler shapes

• A shape that is always circular

• A shape with only one side

How do you find the area of a composite shape?

• By using the Pythagorean theorem

• By dividing the total perimeter by two

• By adding or subtracting the areas of simpler shapes

• By multiplying the areas of all parts

What is the area of a rectangle with a length of 6 cm and a breadth of 5 cm?

• 15 cm²

• 30 cm²

• 11 cm²

• 60 cm²

If a triangle has a base of 6 cm and a height of 3 cm, what is its area?

• 12 cm²

• 9 cm²

• 18 cm²

• 6 cm²

What is the formula for the area of a circle?

• Area = π * diameter

• Area = 2 * π * diameter

• Area = 2 * π * radius

• Area = π * radius²

How do you find the area of a half circle?

• Multiply the area of the full circle by two

• Add the radius to the diameter

• Subtract the radius from the diameter

• Divide the area of the full circle by two

What is the area of a rectangle with a length of 25 cm and a height of 20 cm?

• 500 cm²

• 100 cm²

• 45 cm²

• 250 cm²

How do you find the area of a shaded region when a circle is cut out from a rectangle?

• Multiply the area of the circle by the rectangle

• Subtract the area of the circle from the rectangle

• Add the area of the circle to the rectangle

• Divide the area of the rectangle by the circle

What is the radius of a circle with a diameter of 4 m?

• 2 m

• 4 m

• 8 m

• 1 m

What is the key takeaway about composite shapes?

• They are only made of triangles

• They can be broken into simpler parts to find the area

• They cannot be calculated

• They are always circular