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Mr. Bayani has a vacant lot in his backyard. He wants to make as many rectangular gardens as possible such that the length of each garden is 2 m longer than its width. He also wants the length of the garden with the smallest area to be 3 m. 1. Illustrate the different rectangular gardens that Mr. Bayani could make. 2. What are the dimensions of the different gardens that Mr. Bayani wants to make? 3. What is the area of each garden in item 2?

Mr. Bayani has a vacant lot in his backyard. He wants to make as many rectangular gardens as possible such that the length of each garden is 2 m longer than its width. He also wants the length of the garden with the smallest area to be 3 m. 1. Illustrate the different rectangular gardens that Mr. Bayani could make. 2. What are the dimensions of the different gardens that Mr. Bayani wants to make? 3. What is the area of each garden in item 2?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. How do you equations and which are not quadratic equations? Were you able to describe mathematical In the activity done, were you able to distinguish mathematical sentences which are quadratic learn how mathematical sentences involving inequalities are illustrated in real life. sentences that make use of equality and inequality symbols? In the next activity, vou will > Activity 3: Let's Do Gardening! How are they different from those equations which are quadratic? 3. Which of the given mathematical sentences are not quadratic equations? Why? 4. How would you describe those mathematical sentences which are not quadratic equations? Tira the situation below to answer the questions that follow. Mr. Bayani has a vacant lot in his backyard. He wants to make as many rectangular gardens as possible such that the length of each garden is 2 m longer than its width. He also wants the length of the garden with the smallest area to be 3 m. 1. Illustrate the different rectangular gardens that Mr. Bayani could make. 2. What are the dimensions of the different gardens that Mr. Bayani wants to make? 3. What is the area of each garden in item 2? 4. What is the area of the smallest garden that Mr. Bayani can make? How about the area of the largest garden? Explain your answer. 5. What general mathematical sentence would represent the possible areas of the gardens? Describe the sentence. 6. Using the mathematical sentence formulated, do you think you can find other possible dimensions of the gardens that Mr. Bayani wants to make? If YES, how? If NOT, explain. 97
Transcribed Image Text:2. How do you equations and which are not quadratic equations? Were you able to describe mathematical In the activity done, were you able to distinguish mathematical sentences which are quadratic learn how mathematical sentences involving inequalities are illustrated in real life. sentences that make use of equality and inequality symbols? In the next activity, vou will > Activity 3: Let's Do Gardening! How are they different from those equations which are quadratic? 3. Which of the given mathematical sentences are not quadratic equations? Why? 4. How would you describe those mathematical sentences which are not quadratic equations? Tira the situation below to answer the questions that follow. Mr. Bayani has a vacant lot in his backyard. He wants to make as many rectangular gardens as possible such that the length of each garden is 2 m longer than its width. He also wants the length of the garden with the smallest area to be 3 m. 1. Illustrate the different rectangular gardens that Mr. Bayani could make. 2. What are the dimensions of the different gardens that Mr. Bayani wants to make? 3. What is the area of each garden in item 2? 4. What is the area of the smallest garden that Mr. Bayani can make? How about the area of the largest garden? Explain your answer. 5. What general mathematical sentence would represent the possible areas of the gardens? Describe the sentence. 6. Using the mathematical sentence formulated, do you think you can find other possible dimensions of the gardens that Mr. Bayani wants to make? If YES, how? If NOT, explain. 97
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