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?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter7: Percents
Section7.4: The Percent Equation
Problem 28E
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1.14 INFINITY AND BEYOND: PERIMETER AND AREA
123
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.
Cut to here
Fold
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:
Transcribed Image Text:58% 10:26 Pearson+ plus.pearson.com 1.14 INFINITY AND BEYOND: PERIMETER AND AREA 123 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. Cut to here Fold 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:
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