Finding Area of Rectilinear Figures

The video tutorial explains how to find the area of rectilinear figures by breaking them into smaller rectangles. It demonstrates the use of the distributive property to simplify the process and emphasizes the importance of identifying missing side lengths. Two examples are provided to illustrate the method, showing how to calculate the area by splitting the shape and using addition to combine the results.

What is a rectilinear figure?

• A shape with only curved lines

• A compound shape made of two or more combined shapes

• A shape with no angles

• A single geometric shape

How do you find a missing side length in a rectilinear figure?

• By adding the two smaller sides to equal the longest side

• By measuring with a ruler

• By subtracting the longest side from the perimeter

• By guessing

What is the first step in using the distributive property to find the area of a rectilinear figure?

• Coloring the figure

• Identifying and calculating missing side lengths

• Ignoring the side lengths

• Drawing a circle around the figure

When calculating the area of the top rectangle, which side lengths are used?

• The shortest side length only

• The longest side length only

• The side lengths that are part of the split section

• The original side lengths before splitting

Why can't the original side length be used after splitting the shape?

• Because it is not needed

• Because it is not visible

• Because it is no longer part of the shape

• Because it is too long

What is the final step in finding the total area of the original shape?

• Subtracting the areas of the two rectangles

• Multiplying the areas of the two rectangles

• Adding the areas of the two rectangles

• Dividing the areas of the two rectangles

In the new example, what is the missing side length if 5 plus blank equals 12?

• 8

• 6

• 9

• 7

How do you determine the side lengths for the right-hand rectangle in the new example?

• By using the shortest side lengths

• By using random side lengths

• By using the side lengths that stretch across the entire shape

• By using the original side lengths

What is the area of the left-hand rectangle in the new example if the side lengths are 2 and 10?

• 12

• 20

• 22

• 24

What is the purpose of using the distributive property in these examples?

• To make the shape more complex

• To simplify the calculation of the area

• To change the shape

• To ignore the side lengths