Area of a Rectangle

Author:Jennifer Mallory, Jayrton Carvalho, Jorge Cássio

Rectangle Area

In order to understand the formula for the rectangle area, we have to explore the following structure. (ps.: this structure was modified from the one made by Jayrton Carvalho)

Analysis 1

Move the n = 0 bar and watch as the rectangle is filled. How many squares can fit in the rectangle? Type your answer below.

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Analysis 2

Change the base (B) measure to 10 and the height (H) to 5. Move the n bar and watch as the rectangle is filled. How many squares can fit in this rectangle?

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Analysis 3

If you were to change the base (B) to 4 and the height (H) to 6, how many squares do you think the rectangle will hold. Explain your reasoning.

Analysis 4

What is the connection between the number of little squares (n) that fit in the rectangle with the height (H) and the base (B) of the rectangle?

Select all that apply

A
The number of squares is equal to the product of the base and height.
B
The number of squares is equal to the quotient of the base and height.
C
The number of squares is equal to the sum of the base and height.
D
The number of squares is equal to the difference of the base and height.

Check my answer (3)

Analysis 5

In theory, the number of small squares that fit in the rectangle can be considered the area of the rectangle. Which equation represents the area of a rectangle of base B and height H?