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ABCD is a parallelogram. AE is the altitude from A to DC and AF is the altitude from A to BC . if DC =12 cm ,AE =5.6cm and BC is 14 cm A) find the area of parallelogram ABCD. B) find the length of altitude AF .?
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ABCD is a parallelogram. AE is the altitude from A to DC and AF is the...
Given:
- ABCD is a parallelogram.
- AE is the altitude from A to DC.
- AF is the altitude from A to BC.
- DC = 12 cm.
- AE = 5.6 cm.
- BC = 14 cm.
To find:
A) The area of parallelogram ABCD.
B) The length of altitude AF.
Solution:
A) Area of parallelogram ABCD:
- The area of a parallelogram can be found using the formula: Area = base × height.
- In this case, the base is DC and the height is AE.
- Therefore, the area of parallelogram ABCD = DC × AE = 12 cm × 5.6 cm = 67.2 cm².
B) Length of altitude AF:
- Since ABCD is a parallelogram, AF is also the altitude from A to BC.
- The area of a parallelogram can also be calculated using the formula: Area = base × height.
- In this case, the base is BC and the height is AF.
- We know that the area of parallelogram ABCD is 67.2 cm².
- Therefore, 67.2 cm² = BC × AF.
- Rearranging the equation, AF = 67.2 cm² / BC.
- Substituting the values, AF = 67.2 cm² / 14 cm = 4.8 cm.
Answer:
A) The area of parallelogram ABCD is 67.2 cm².
B) The length of altitude AF is 4.8 cm.
- ABCD is a parallelogram.
- AE is the altitude from A to DC.
- AF is the altitude from A to BC.
- DC = 12 cm.
- AE = 5.6 cm.
- BC = 14 cm.
To find:
A) The area of parallelogram ABCD.
B) The length of altitude AF.
Solution:
A) Area of parallelogram ABCD:
- The area of a parallelogram can be found using the formula: Area = base × height.
- In this case, the base is DC and the height is AE.
- Therefore, the area of parallelogram ABCD = DC × AE = 12 cm × 5.6 cm = 67.2 cm².
B) Length of altitude AF:
- Since ABCD is a parallelogram, AF is also the altitude from A to BC.
- The area of a parallelogram can also be calculated using the formula: Area = base × height.
- In this case, the base is BC and the height is AF.
- We know that the area of parallelogram ABCD is 67.2 cm².
- Therefore, 67.2 cm² = BC × AF.
- Rearranging the equation, AF = 67.2 cm² / BC.
- Substituting the values, AF = 67.2 cm² / 14 cm = 4.8 cm.
Answer:
A) The area of parallelogram ABCD is 67.2 cm².
B) The length of altitude AF is 4.8 cm.
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ABCD is a parallelogram. AE is the altitude from A to DC and AF is the altitude from A to BC . if DC =12 cm ,AE =5.6cm and BC is 14 cm A) find the area of parallelogram ABCD. B) find the length of altitude AF .?
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ABCD is a parallelogram. AE is the altitude from A to DC and AF is the altitude from A to BC . if DC =12 cm ,AE =5.6cm and BC is 14 cm A) find the area of parallelogram ABCD. B) find the length of altitude AF .? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about ABCD is a parallelogram. AE is the altitude from A to DC and AF is the altitude from A to BC . if DC =12 cm ,AE =5.6cm and BC is 14 cm A) find the area of parallelogram ABCD. B) find the length of altitude AF .? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ABCD is a parallelogram. AE is the altitude from A to DC and AF is the altitude from A to BC . if DC =12 cm ,AE =5.6cm and BC is 14 cm A) find the area of parallelogram ABCD. B) find the length of altitude AF .?.
ABCD is a parallelogram. AE is the altitude from A to DC and AF is the altitude from A to BC . if DC =12 cm ,AE =5.6cm and BC is 14 cm A) find the area of parallelogram ABCD. B) find the length of altitude AF .? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about ABCD is a parallelogram. AE is the altitude from A to DC and AF is the altitude from A to BC . if DC =12 cm ,AE =5.6cm and BC is 14 cm A) find the area of parallelogram ABCD. B) find the length of altitude AF .? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ABCD is a parallelogram. AE is the altitude from A to DC and AF is the altitude from A to BC . if DC =12 cm ,AE =5.6cm and BC is 14 cm A) find the area of parallelogram ABCD. B) find the length of altitude AF .?.
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ABCD is a parallelogram. AE is the altitude from A to DC and AF is the altitude from A to BC . if DC =12 cm ,AE =5.6cm and BC is 14 cm A) find the area of parallelogram ABCD. B) find the length of altitude AF .?, a detailed solution for ABCD is a parallelogram. AE is the altitude from A to DC and AF is the altitude from A to BC . if DC =12 cm ,AE =5.6cm and BC is 14 cm A) find the area of parallelogram ABCD. B) find the length of altitude AF .? has been provided alongside types of ABCD is a parallelogram. AE is the altitude from A to DC and AF is the altitude from A to BC . if DC =12 cm ,AE =5.6cm and BC is 14 cm A) find the area of parallelogram ABCD. B) find the length of altitude AF .? theory, EduRev gives you an
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