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Activity 5 Use the situation below to answer the questions that follow. Mr Bayani has a vacant lot in his backyard. He wants to make as many as rectangular gardens as possible such that the length of each garden is 2m longer than its width. He also wants the length of the garden of 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?

Activity 5 Use the situation below to answer the questions that follow. Mr Bayani has a vacant lot in his backyard. He wants to make as many as rectangular gardens as possible such that the length of each garden is 2m longer than its width. He also wants the length of the garden of 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?

Elementary Algebra
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter10: Quadratic Equations
Section10.4: Solve Applications Modeled By Quadratic Equations
Problem 160E: A city planner wants to build a bridge across a lake in a park. To find the length of the bridge, he...
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Activity 5: ise the situation below to answer the questions that follow. Mr Bayani has a vacant lot in his backyard. He wants to make as many ng rectangular gardens as possible such that the length of each garden is 2m longer than its width. He also wants the length of the garden of 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 sentences 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. 7. Suppose the length of each garden that Mr. Bayani wants to make is 3 m longer than its width and the area of the smallest garden is 10m2. What general mathematical sentence would represent the possible areas of the gardens? How are you going to solve the mathematical sentence formulated? Find at least 3 possible solutions of the mathematical sentence. 3. Draw a graph to represent the solution set of the mathematical sentence formulated in item 7. What does the graph tell you? 9. Are all solutions that can be obtained from the graph true to the given situation? Why? Assessment Show what you've got!
Transcribed Image Text:Activity 5: ise the situation below to answer the questions that follow. Mr Bayani has a vacant lot in his backyard. He wants to make as many ng rectangular gardens as possible such that the length of each garden is 2m longer than its width. He also wants the length of the garden of 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 sentences 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. 7. Suppose the length of each garden that Mr. Bayani wants to make is 3 m longer than its width and the area of the smallest garden is 10m2. What general mathematical sentence would represent the possible areas of the gardens? How are you going to solve the mathematical sentence formulated? Find at least 3 possible solutions of the mathematical sentence. 3. Draw a graph to represent the solution set of the mathematical sentence formulated in item 7. What does the graph tell you? 9. Are all solutions that can be obtained from the graph true to the given situation? Why? Assessment Show what you've got!
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