Area of a Rectangle

저자: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?

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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.

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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?