Questions


August 2022 1 7 Report
Given: A rectangular garden has an area of 84 m² and a perimeter of 38 m.

Note: Let the longer side be the length of the rectangular garden.

1. Using the area and the perimeter of the rectangular garden given in the problem, which of the following quadratic equation is the correct representation?.

A. x² - 19x + 84 = 0
B. x² - 38x + 84 = 0
C. x² + 19x + 84 = 0
D. x² + 38x + 84 = 0

Given: Jane and Maria can clean the house in 2 hours if they work together. The time that Jane takes in cleaning the house alone is 3 hours more than the time Maria takes in cleaning the same house.

1. If Maria has 1/x part in cleaning the house in 1 hour, whivh of the following must be the part of Jane if she also clean the house for one hour?

A. 1/x+8
B. 1/x+3
C. 1/8-x
D. 1/2+x

2. Which of the following rational algebraic equations can be used in finding the actual time used by Jane and Maria in cleaning the same house?

A. 1/x+3 + 1/2 = 1/x
B. 1/x + 1/2 = 1/x+3
C. 1/x+3 + 1/x = 1/2
D. 1/3 + 1/x = 1/2

3. What is the standard form of the rational algebraic equation from item 2?

A. x² - x - 6 = 0
B. x² + x - 6 = 0
C. x² - x + 6 = 0
D. x² + x + 6 = 0

4. How long does it take Maria to clean the house alone?

A. 4 hours
B. 3 hours
C. 2 hours
D. 1 hour

5. How long does it take Jane to clean the house alone?

A. 8 hours
B. 7 hours
C. 6 hours.
D. 5 hours

Given: The length of the tarpaulin is 3 ft. more that thrice its width and its area is 126 ft².

6. If x is the width, what is the mathematical expression for the length of the tarpaulin?

A. 3 + 3x
B. 3x + 3
C. 2x + 3
D. 3 + 2x

7. What quadratic equation will be used to find the actual length and width of the tarpaulin?

A. 2x² - 3x - 126 = 0
B. 2x² - 3x + 126 = 0
C. 3x² - 3x + 126 = 0
D. 3x² + 3x - 126 = 0

8. What is the width of the tarpaulin?

A. 6 ft.
B. 7 ft.
C. 8 ft.
D. 9 ft.

9. How long is the tarpaulin?

A. 18 ft.
B. 21 ft.
C. 24 ft.
D. 27 ft.

10. What is the perimeter of the tarpaulin?.

A. 126 ft.
B. 54 ft.
C. 54 ft.
D. 27 ft.

pa help po, need na now please

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