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SOLVING PROBLEMS SOLVING QUADRATIC EQUATION

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Princess Jane Liberato

on 4 August 2016

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Transcript of SOLVING PROBLEMS SOLVING QUADRATIC EQUATION

1. The area of a concrete rectangular pathway is 350 square meters and its perimeter pathway is 90 meters. What is the length of the pathway?
2. A rectangular lot has an area of 240 square meters. What is the width of the lot if it requires 64 meters of fencing materials to enclose it?
Solve each of the following quadratic equations. Explain how you arrived at your answers.
MOTIVATION
REVIEW
SOLVING PROBLEMS INVOLVING QUADRATIC EQUATION
1. x(2x-5)=0
2. 2t(t-8)=0
3. 6x(2x+1)=0
Use a variable to represent the unknown quantity, then write an equation from the given information. Explain how you arrived at your answer.
3. The area of a garden is 160 square meters. Supposed the length of the garden is 3 meters more than twice its width. What is the length of the garden?
FIND MY SOLUTIONS!
4. The length of a tarpaulin is 3 ft. more than thrice its width and its area is 126 square feet. What is the length of the tarpaulin?
OBJECTIVE
Solves problems involving quadratic equations and rational algebraic equation.
LESSON PROPER
The length of a rectangular floor is 5 meters longer than its width. the area of the floor is 84 square meters.
1. What expression represents the width of the floor?
The length of a rectangular floor is 5 meters longer than its width. the area of the floor is 84 square meters.
2. Formulate an equation relating the width, length, and the area of the floor. Explain how you arrived at the mathematical sentence.
The length of a rectangular floor is 5 meters longer than its width. the area of the floor is 84 square meters.
3. How would you describe the equation that you formulated?
The length of a rectangular floor is 5 meters longer than its width. the area of the floor is 84 square meters.
4. Using the equation, how will you determine the width and length of the floor?
The length of a rectangular floor is 5 meters longer than its width. the area of the floor is 84 square meters.
5. What is the width of the floor? How about its length?
The length of a rectangular floor is 5 meters longer than its width. the area of the floor is 84 square meters.
6. How did you find the width and the length of floor?
A rectangular
table has an area of
27 square feet and a perimeter of 24 feet. What are the dimensions of the table?
1. How would you represent the width and length of the table?
A rectangular
table has an area of
27 square feet and a perimeter of 24 feet. What are the dimensions of the table?
2. what equation represents the perimeter of the table? How about the equation that represents its area?
A rectangular
table has an area of
27 square feet and a perimeter of 24 feet. What are the dimensions of the table?
3. How would you find the length and the width of the table?
A rectangular
table has an area of
27 square feet and a perimeter of 24 feet. What are the dimensions of the table?
4. What is the length of the table? How about its width? Explain how you arrived at your answer.
A rectangular
table has an area of
27 square feet and a perimeter of 24 feet. What are the dimensions of the table?
5. How would you check if the dimensions of the table obtained satisfy the conditions of the given situation
A rectangular
table has an area of
27 square feet and a perimeter of 24 feet. What are the dimensions of the table?
6. Supposed the dimensions of the table are both doubled, how would affect its perimeter and area?
APPLICATION
The length of a rectangular parking lot is 36 meters longer than its width. The area of the parking lot is 5,152 square meters.
1. How would you represent the width of the parking lot? How about its length?
The length of a rectangular parking lot is 36 meters longer than its width. The area of the parking lot is 5,152 square meters.
2. What equation represents the area of the parking lot?
The length of a rectangular parking lot is 36 meters longer than its width. The area of the parking lot is 5,152 square meters.
3. How would you use the equation representing the area of the parking lot in finding its length and width?
The length of a rectangular parking lot is 36 meters longer than its width. The area of the parking lot is 5,152 square meters.
4. What is the length and width of the parking lot? Explain how you arrived at your answer.
The length of a rectangular parking lot is 36 meters longer than its width. The area of the parking lot is 5,152 square meters.
5. Supposed the area of the parking lot is doubled, would its length and width also double? Justify your answer.
EVALUATION
The perimeter of the rectangular swimming pool is 86 meters and its area is 450 square meters.
1. How would you represent the length and the width of the swimming pool?
The perimeter of the rectangular swimming pool is 86 meters and its area is 450 square meters.
2. What equation represents the perimeter and area of the swimming pool?
The perimeter of the rectangular swimming pool is 86 meters and its area is 450 square meters.
3. How would you find the length and the width of the swimming pool?
The perimeter of the rectangular swimming pool is 86 meters and its area is 450 square meters.
4. What is the length and width of the swimming pool? Explain how you arrived at your answer.
The perimeter of the rectangular swimming pool is 86 meters and its area is 450 square meters.
5. How would you check if the dimensions of the swimming pool obtained satisfy the conditions of the given situation?
The perimeter of the rectangular swimming pool is 86 meters and its area is 450 square meters.
6. Suppose the dimensions of the swimming pool are both doubled, how would it affect its perimeter and area?
ASSIGNMENT
Jane and Maria can clean the house in 8 hours if they work together. The time that Jane takes in cleaning alone is 4 hours more than the time Maria takes in cleaning the same house. How long does it take Jane to clean the house alone? How about Maria?
Find the missing!
WORDS OF THE DAY
Life can either be accepted or changed. If it is not accepted, it must be changed. If it cannot be changed, then it must be accepted.
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