**1.14 Infinity and Beyond: Perimeter and Area****6.** A rectangular garden has dimensions of 12 feet by 20 feet. The homeowner wants to increase each dimension by 20%. a. Find the original perimeter and area of the garden. b. Find the perimeter and area of the garden with a 20% increase in each dimension. c. By what percent will the perimeter increase? By what percent will the area increase? d. Explain why the area and perimeter will not increase by the same percentage.---**7.** Do you believe that you can take a standard sheet of notebook paper and cut a hole in it that is large enough to walk through? Follow the directions below to try it for yourself. a. Fold a piece of paper in half the long way. b. Make cuts on all the vertical lines as indicated in the following picture. The lines should alternate sides, one from the top, one from the bottom, and so on. The closer the lines are to each other, the larger the hole will be. ![Diagram](https://via.placeholder.com/150) In this diagram, a folded piece of paper has alternating cuts on each side, indicated with dashed lines leading to arrows labeled "Cut to here". c. Cut the fold line, but cut only between the first and last vertical lines. Do not cut all the way to the edge of the paper. Unfolded, the paper should look like this: ![Diagram](https://via.placeholder.com/150) In this second diagram, the paper is unfolded, showing a series of connected loops or slits that create a large, walk-through hole.

We are authorized to solve only one question with 3 subparts, please repost remaining questions Percentage change

6. A rectangular garden has dimensions of 12 feet by 20 feet. The homeowner wants to increase each dimension by 20%. a. Find the original perimeter and area of the garden. b. Find the perimeter and area of the garden with a 20% increase in each dimension. c. By what percent will the perimeter increase? By what percent will the area increase?

6. A rectangular garden has dimensions of 12 feet by 20 feet. The homeowner wants to increase each dimension by 20%. a. Find the original perimeter and area of the garden. b. Find the perimeter and area of the garden with a 20% increase in each dimension. c. By what percent will the perimeter increase? By what percent will the area increase?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

**1.14 Infinity and Beyond: Perimeter and Area**

**6.** A rectangular garden has dimensions of 12 feet by 20 feet. The homeowner wants to increase each dimension by 20%.

a. Find the original perimeter and area of the garden.

b. Find the perimeter and area of the garden with a 20% increase in each dimension.

c. By what percent will the perimeter increase? By what percent will the area increase?

d. Explain why the area and perimeter will not increase by the same percentage.

---

**7.** Do you believe that you can take a standard sheet of notebook paper and cut a hole in it that is large enough to walk through? Follow the directions below to try it for yourself.

a. Fold a piece of paper in half the long way.

b. Make cuts on all the vertical lines as indicated in the following picture. The lines should alternate sides, one from the top, one from the bottom, and so on. The closer the lines are to each other, the larger the hole will be.

![Diagram](https://via.placeholder.com/150)

In this diagram, a folded piece of paper has alternating cuts on each side, indicated with dashed lines leading to arrows labeled "Cut to here".

c. Cut the fold line, but cut only between the first and last vertical lines. Do not cut all the way to the edge of the paper. Unfolded, the paper should look like this:

![Diagram](https://via.placeholder.com/150)

In this second diagram, the paper is unfolded, showing a series of connected loops or slits that create a large, walk-through hole.

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