With explanation ( solve only for number's 4 and 5)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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With explanation ( solve only for number's 4 and 5)
Read and understand the situation below then answer the questions that follow.
Mr. Bonifacio cuts different sizes of rectangular plywood to be used in the furniture that he
makes. Some of these rectangular plywood are described below.
Plywood 1: The length of the plywood is twice its width and the area is 4.5
Plywood 2: The length of the plywood is 1.4 ft. less than twice its width and the area is
ft.
16 sq ft.
Plywood 3: The perimeter of the plywood is 10 ft. and its area is 6 sq ft.
Transcribed Image Text:Read and understand the situation below then answer the questions that follow. Mr. Bonifacio cuts different sizes of rectangular plywood to be used in the furniture that he makes. Some of these rectangular plywood are described below. Plywood 1: The length of the plywood is twice its width and the area is 4.5 Plywood 2: The length of the plywood is 1.4 ft. less than twice its width and the area is ft. 16 sq ft. Plywood 3: The perimeter of the plywood is 10 ft. and its area is 6 sq ft.
Questions:
1. What quadratic equation represents the area of each piece of plywood? Write the equation
in terms of the width of the plywood.
2. Write each quadratic 'equation formulated in item 1 in standard form. Then determine the
values of a, b, and c.
3. Solve each quadratic equation using the quadratic formula.
4. Which of the solutions or roots obtained represents the width of each plywood? Explain
your answer.
5. What is the length of each pieće of plywood? Explain how
arrived at your answer.
you
Were you
able to come up with the quadratic equation that represents the area of each piece
of plywood? Were you able to determine the length and width of each piece of plywood?
In this section, the discussion was about solving quadratic equations by using the quadratic
formula.
Go back to the previous section and compare your initial ideas with the discussion. How much
of your initial ideas are found in the discussion? Which ideas are different and need revision?
Transcribed Image Text:Questions: 1. What quadratic equation represents the area of each piece of plywood? Write the equation in terms of the width of the plywood. 2. Write each quadratic 'equation formulated in item 1 in standard form. Then determine the values of a, b, and c. 3. Solve each quadratic equation using the quadratic formula. 4. Which of the solutions or roots obtained represents the width of each plywood? Explain your answer. 5. What is the length of each pieće of plywood? Explain how arrived at your answer. you Were you able to come up with the quadratic equation that represents the area of each piece of plywood? Were you able to determine the length and width of each piece of plywood? In this section, the discussion was about solving quadratic equations by using the quadratic formula. Go back to the previous section and compare your initial ideas with the discussion. How much of your initial ideas are found in the discussion? Which ideas are different and need revision?
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