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1. The length of a rectangle is 2 m less than twice the width. If the arca rectangle is 112 m2, what is the width? A. 5 m B. 8 m C. 9 m D. 14 m nah metcr

1. The length of a rectangle is 2 m less than twice the width. If the arca rectangle is 112 m2, what is the width? A. 5 m B. 8 m C. 9 m D. 14 m nah metcr

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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1. The length of a rectangle is 2 m less than twice the width. If the area of the rectangle is 112 m2, what is the width? A. 5 m В. 8 m C. 9 m D. 14 m 2. A piece of pipe costs P 20.00. If the pipe was 1 meter shorter and cach meter costs P1 more, the cost would remain unchanged. What is the length of the pipe? A. -4 В. -5 C. 5 D. 4 3. The hypotenuse of right-angled triangle is 10 cm. The difference between its other two sides is 2 cm. Find the length of the sides. A. 5 cm and 7 cm B. 6 cm and 8 cm C. 6 cm and 12 cm D. 8 cm and 10 cm 4. The perimeter and area of a rectangle are 48 cm and 140 cm² respectively. Find the length and width of the rectangle. A. 12 cm by 10 cm B. 10 cm by 8 cm C. 12 cm by 8 cm D. 14 cm by 10 cm 5. The sides of an equilateral triangle are shortened by 2 units, 3 units and 4 units respectively and a right-angle triangle is formed. Find the length of each side of the equilateral triangle. A. 3 units B. 7 unite C. 5 units D. 12 units 7. Tearning Module for Junior High School MathematiCA C. 9 D. 16 A8 84 building. The height of the object, (measured in feet) t seconds after he threw it is h= -4ta + 40t + 300. Tor Question 7 & 8: Jhondy throw an object upward from the top of a 300 t tall 7. Where is the object 5 seconds after Jhondy threw it? A. 500 R B. 160 ft. C. 1000 ft. D. 530 ft. 8. How long does it take for the object to hit the ground? A. 5 seconds B. 12 seconds C. 10 seconds D. 15 seconds 9. John, Luke and Mark can finish painting the fence in 2 hours. If John does the job alone, he can finish it in 5 hours. If Luke does the job alone, he can finish it in 6 hours. How long will it take for Mark to finish the job alone? A. 5 hrs. B. 7.5 hrs. C. 3 hrs. D. 1 hr. 10. Two pipes working together can fill a tank in 35 minutes. If the large pipe alone can fill the tank in 24 minutes less than the time taken by the smaller pipe then find the time taken by large pipe working alone to fill the tank. A. 60 mins. B. 20 mins. C. 50 mins. D. 84 mins. ADDITIONAL ACTIVITIES Critical Thinking and Creativity A. A ladder5 m long is leaning against a wall. The distance from the bottom of the ladder to the wall is 1 m less than the distance from the top of the ladder to the ground. How far is the bottom of the ladder from
Transcribed Image Text:1. The length of a rectangle is 2 m less than twice the width. If the area of the rectangle is 112 m2, what is the width? A. 5 m В. 8 m C. 9 m D. 14 m 2. A piece of pipe costs P 20.00. If the pipe was 1 meter shorter and cach meter costs P1 more, the cost would remain unchanged. What is the length of the pipe? A. -4 В. -5 C. 5 D. 4 3. The hypotenuse of right-angled triangle is 10 cm. The difference between its other two sides is 2 cm. Find the length of the sides. A. 5 cm and 7 cm B. 6 cm and 8 cm C. 6 cm and 12 cm D. 8 cm and 10 cm 4. The perimeter and area of a rectangle are 48 cm and 140 cm² respectively. Find the length and width of the rectangle. A. 12 cm by 10 cm B. 10 cm by 8 cm C. 12 cm by 8 cm D. 14 cm by 10 cm 5. The sides of an equilateral triangle are shortened by 2 units, 3 units and 4 units respectively and a right-angle triangle is formed. Find the length of each side of the equilateral triangle. A. 3 units B. 7 unite C. 5 units D. 12 units 7. Tearning Module for Junior High School MathematiCA C. 9 D. 16 A8 84 building. The height of the object, (measured in feet) t seconds after he threw it is h= -4ta + 40t + 300. Tor Question 7 & 8: Jhondy throw an object upward from the top of a 300 t tall 7. Where is the object 5 seconds after Jhondy threw it? A. 500 R B. 160 ft. C. 1000 ft. D. 530 ft. 8. How long does it take for the object to hit the ground? A. 5 seconds B. 12 seconds C. 10 seconds D. 15 seconds 9. John, Luke and Mark can finish painting the fence in 2 hours. If John does the job alone, he can finish it in 5 hours. If Luke does the job alone, he can finish it in 6 hours. How long will it take for Mark to finish the job alone? A. 5 hrs. B. 7.5 hrs. C. 3 hrs. D. 1 hr. 10. Two pipes working together can fill a tank in 35 minutes. If the large pipe alone can fill the tank in 24 minutes less than the time taken by the smaller pipe then find the time taken by large pipe working alone to fill the tank. A. 60 mins. B. 20 mins. C. 50 mins. D. 84 mins. ADDITIONAL ACTIVITIES Critical Thinking and Creativity A. A ladder5 m long is leaning against a wall. The distance from the bottom of the ladder to the wall is 1 m less than the distance from the top of the ladder to the ground. How far is the bottom of the ladder from
S The sides of an equilateral triangle are shortened by 12 units, 13 units and 14 units respectively and a right-angle triangle is formed. Find the length of each side of the equilateral triangle. A. 13 units B. 17 unite Learning Module C. 5 units D. 2 units 6. Dilference between a number and its positive square root is 12. Find the number. A. 8 B. 9 С. 22 D. 16 For Question 7 & 8: Jonna throw an object upward from the top of a 1200 ft. tall building. The height of the object, (measured in feet) t seconds after she threw it is h = -16t2 + 160t + 1200. 7. Where is the object 3 seconds after Jonna threw it? A. 1356 ft. B. 1536 ft. C. 1563 ft. D. 1653 ft. 8. How long does it take for the object to hit the ground? A. 5 seconds B. 12 seconds C. 10 seconds D. 15 seconds 9. Smith and Johnson together can do a piece of work in 4 days. If they had to work separately, the time taken by Johnson to do the work would be more than that of Smith by 6 days. In how many days can Smith alone do the work? A. 6 days B. 10 days C. 8 days D. 7 days 10.An office has two envelope stuffing machines. Working together they can stuff a batch of envelopes in 4 hours. Working Separately, it will take the second machine 6 hour longer than the first machine. How long would it take for the second machine to stuff a batch of envelopes? A. 11 В. 20 C. 12 D. 10 Solve the following problems: 1. The square of a number plus the twice number is equal to 1.Find the number. 2. A school has a quadrangle that is 20 ft by 30 ft. The alumni association wants to plant a strip set of sunflowers around the edge of the quadrangle.They have enough seed to cover 336 feet. How wide will the strip be? WHAT I CAN DO Critical Thinking Answer the following 1. An amusement park wants to place a new rectangular billboard to inform visitors of their new attractions. Suppose the length of the billboard to be placed is 4 m longer than its width and the area is 96m?. What will be the length and the width of the billboard? 2. A rectangular table has an area of 27ft and a perimeter of 24ft. What are the dimensions of the table?
Transcribed Image Text:S The sides of an equilateral triangle are shortened by 12 units, 13 units and 14 units respectively and a right-angle triangle is formed. Find the length of each side of the equilateral triangle. A. 13 units B. 17 unite Learning Module C. 5 units D. 2 units 6. Dilference between a number and its positive square root is 12. Find the number. A. 8 B. 9 С. 22 D. 16 For Question 7 & 8: Jonna throw an object upward from the top of a 1200 ft. tall building. The height of the object, (measured in feet) t seconds after she threw it is h = -16t2 + 160t + 1200. 7. Where is the object 3 seconds after Jonna threw it? A. 1356 ft. B. 1536 ft. C. 1563 ft. D. 1653 ft. 8. How long does it take for the object to hit the ground? A. 5 seconds B. 12 seconds C. 10 seconds D. 15 seconds 9. Smith and Johnson together can do a piece of work in 4 days. If they had to work separately, the time taken by Johnson to do the work would be more than that of Smith by 6 days. In how many days can Smith alone do the work? A. 6 days B. 10 days C. 8 days D. 7 days 10.An office has two envelope stuffing machines. Working together they can stuff a batch of envelopes in 4 hours. Working Separately, it will take the second machine 6 hour longer than the first machine. How long would it take for the second machine to stuff a batch of envelopes? A. 11 В. 20 C. 12 D. 10 Solve the following problems: 1. The square of a number plus the twice number is equal to 1.Find the number. 2. A school has a quadrangle that is 20 ft by 30 ft. The alumni association wants to plant a strip set of sunflowers around the edge of the quadrangle.They have enough seed to cover 336 feet. How wide will the strip be? WHAT I CAN DO Critical Thinking Answer the following 1. An amusement park wants to place a new rectangular billboard to inform visitors of their new attractions. Suppose the length of the billboard to be placed is 4 m longer than its width and the area is 96m?. What will be the length and the width of the billboard? 2. A rectangular table has an area of 27ft and a perimeter of 24ft. What are the dimensions of the table?
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