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21. Changing dimensions in a rectangle The length I of a rectangle is decreasing at the rate of 2 cm/sec while the width w is increas- ing at the rate of 2 cm/sec. When I = 12 cm and w = 5 cm, find the rates of change of (a) the area, (b) the perimeter, and (c) the lengths of the diagonals of the rectangle. Which of these quantities are decreasing, and which are increasing?

21. Changing dimensions in a rectangle The length I of a rectangle is decreasing at the rate of 2 cm/sec while the width w is increas- ing at the rate of 2 cm/sec. When I = 12 cm and w = 5 cm, find the rates of change of (a) the area, (b) the perimeter, and (c) the lengths of the diagonals of the rectangle. Which of these quantities are decreasing, and which are increasing?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 17CT
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21. Changing dimensions in a rectangle The length I of a rectangle is decreasing at the rate of 2 cm/sec while the width w is increas- ing at the rate of 2 cm/sec. When I = 12 cm and w = 5 cm, find the rates of change of (a) the area, (b) the perimeter, and (c) the lengths of the diagonals of the rectangle. Which of these quantities are decreasing, and which are increasing?
Transcribed Image Text:21. Changing dimensions in a rectangle The length I of a rectangle is decreasing at the rate of 2 cm/sec while the width w is increas- ing at the rate of 2 cm/sec. When I = 12 cm and w = 5 cm, find the rates of change of (a) the area, (b) the perimeter, and (c) the lengths of the diagonals of the rectangle. Which of these quantities are decreasing, and which are increasing?
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