Is there a proportional relationship between the area of an enlarged rectangle and the area of the original rectangle? Use the following rectangles to explore this question. Complete questions 1–5 below. LOADING... Click the icon to view the rectangles.
1. Find the area of each rectangle. Then, find the area of each rectangle when all of its dimensions are multiplied by 2. Record your results in the table.
Rectangle
Area of Original Rectangle cm2
Area of Enlarged Rectangle cm2
A
enter your response here
enter your response here
B
enter your response here
enter your response here
C
enter your response here
enter your response here
(Simplify your answers.)
2. Are the area of the enlarged rectangle and the area of the original rectangle in a proportional relationship? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
Yes. Each ratio
Area of Enlarged Rectangle cm2
Area of Original Rectangle cm2 is equivalent to enter your response here.
B.
No. The ratio
Area of Enlarged Rectangle cm2
Area of Original Rectangle cm2 is not equivalent to the same number for all of the rectangles.
3. Suppose you multiply all of the original dimensions by 5. Is the relationship between the area of the enlarged rectangle and the area of the original rectangle a proportional relationship? Explain. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
Yes. Each ratio
Area of Enlarged Rectangle cm2
Area of Original Rectangle cm2 is equivalent to enter your response here.
B.
No. The ratio
Area of Enlarged Rectangle cm2
Area of Original Rectangle cm2 is not equivalent to the same number for all of the rectangles.
4. Suppose you multiply all of the original dimensions of a r