Calculating Areas of Shapes

The video tutorial explains how to calculate the area of composite shapes by dividing them into recognizable 2D shapes like rectangles and triangles. It demonstrates the process with examples, including calculating the area of a garden with a semi-circular pond using Pythagoras' theorem and area formulas for triangles and semi-circles. The tutorial emphasizes the importance of identifying dimensions and applying the correct formulas to find total areas.

What is the first step in calculating the area of a composite shape?

• Split the shape into recognizable 2D shapes

• Multiply the length by the width

• Add all the sides together

• Calculate the perimeter

How do you calculate the area of a rectangle?

• Length plus breadth

• Length times breadth

• Length divided by breadth

• Length minus breadth

What is the area of a rectangle with a length of 14 cm and a breadth of 5 cm?

• 19 cm²

• 70 cm²

• 45 cm²

• 35 cm²

If a rectangle has dimensions 20 cm by 13 cm, what is its area?

• 130 cm²

• 260 cm²

• 200 cm²

• 33 cm²

What is the total area of two rectangles with areas 70 cm² and 260 cm²?

• 320 cm²

• 330 cm²

• 300 cm²

• 350 cm²

How do you calculate the area of a right-angle triangle?

• Base times height

• Half times base times height

• Base plus height

• Base minus height

What is the area of a rectangle with dimensions 20 cm by 12 cm?

• 220 cm²

• 200 cm²

• 32 cm²

• 240 cm²

If the height of a triangle is 8 cm and the base is 20 cm, what is its area?

• 40 cm²

• 80 cm²

• 160 cm²

• 100 cm²

What is the total area of a composite shape made of a rectangle (240 cm²) and a triangle (80 cm²)?

• 280 cm²

• 300 cm²

• 340 cm²

• 320 cm²

In a right-angle triangle, which theorem is used to find the hypotenuse?

• Pythagorean theorem

• Area theorem

• Triangle inequality theorem

• Sine rule