Calculating Areas of Shapes

This video tutorial explains how to calculate the area of compound shapes by splitting them into smaller, manageable shapes. It covers the process of dividing a compound shape into rectangles and triangles, calculating their areas, and summing them up to find the total area. The tutorial includes multiple practice problems with different splitting methods to reinforce the concept.

What is a compound shape?

• A shape made of two or more smaller shapes

• A shape made of a single rectangle

• A shape that cannot be split

• A shape with only circular parts

How do you find the area of a compound shape?

• By using only the longest side

• By measuring the perimeter

• By splitting it into smaller shapes and adding their areas

• By counting the number of sides

In the example, what is the area of rectangle A if its dimensions are 7 cm by 8 cm?

• 56 cm squared

• 15 cm squared

• 70 cm squared

• 40 cm squared

What mistake do people often make when calculating the length of rectangle B?

• They forget to measure the height

• They use the wrong formula

• They add the lengths instead of subtracting

• They assume the length is the same as the total length

What is the total area of the compound shape in the example if rectangle A is 56 cm squared and rectangle B is 40 cm squared?

• 120 cm squared

• 100 cm squared

• 96 cm squared

• 80 cm squared

How do you calculate the area of a triangle?

• Base plus height

• Base times height divided by two

• Base minus height

• Base times height

In the complex shape example, what is the area of shape A if its dimensions are 9 cm by 7 cm?

• 63 cm squared

• 45 cm squared

• 54 cm squared

• 72 cm squared

What is the area of the triangle in the complex shape example if its base is 6 cm and height is 5 cm?

• 25 cm squared

• 15 cm squared

• 30 cm squared

• 20 cm squared

In the final example, what is the area of shape B if its dimensions are 6 cm by 4 cm?

• 24 cm squared

• 20 cm squared

• 28 cm squared

• 16 cm squared

What is the total area of the final compound shape if the areas of shapes A, B, and C are 8 cm squared, 24 cm squared, and 4 cm squared respectively?

• 32 cm squared

• 28 cm squared

• 40 cm squared

• 36 cm squared