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The area of quadrilateral ABCD whose diagonals are perpendicular and of lengths 12 cm, 8 cm is
- a)96 cm2
- b)192 cm2
- c)36 cm2
- d)48 cm2
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The area of quadrilateral ABCD whose diagonals are perpendicular and o...
Given:
- Diagonals of quadrilateral ABCD are perpendicular.
- Length of one diagonal is 12 cm.
- Length of other diagonal is 8 cm.
To find:
- Area of quadrilateral ABCD.
Solution:
To find the area of quadrilateral ABCD, we can use the formula for the area of a quadrilateral when the diagonals are perpendicular.
Step 1:
Let's label the diagonals as AC and BD. We are given that AC = 12 cm and BD = 8 cm.
Step 2:
We know that the area of a quadrilateral is given by the formula:
Area = 1/2 * product of the diagonals
Step 3:
Substituting the given values, we have:
Area = 1/2 * AC * BD
= 1/2 * 12 cm * 8 cm
= 48 cm^2
Therefore, the area of quadrilateral ABCD is 48 cm^2.
Answer:
The correct option is D) 48 cm^2.
- Diagonals of quadrilateral ABCD are perpendicular.
- Length of one diagonal is 12 cm.
- Length of other diagonal is 8 cm.
To find:
- Area of quadrilateral ABCD.
Solution:
To find the area of quadrilateral ABCD, we can use the formula for the area of a quadrilateral when the diagonals are perpendicular.
Step 1:
Let's label the diagonals as AC and BD. We are given that AC = 12 cm and BD = 8 cm.
Step 2:
We know that the area of a quadrilateral is given by the formula:
Area = 1/2 * product of the diagonals
Step 3:
Substituting the given values, we have:
Area = 1/2 * AC * BD
= 1/2 * 12 cm * 8 cm
= 48 cm^2
Therefore, the area of quadrilateral ABCD is 48 cm^2.
Answer:
The correct option is D) 48 cm^2.
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The area of quadrilateral ABCD whose diagonals are perpendicular and of lengths 12 cm, 8 cm isa)96cm2b)192cm2c)36cm2d)48cm2Correct answer is option 'D'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The area of quadrilateral ABCD whose diagonals are perpendicular and of lengths 12 cm, 8 cm isa)96cm2b)192cm2c)36cm2d)48cm2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The area of quadrilateral ABCD whose diagonals are perpendicular and of lengths 12 cm, 8 cm isa)96cm2b)192cm2c)36cm2d)48cm2Correct answer is option 'D'. Can you explain this answer?.
The area of quadrilateral ABCD whose diagonals are perpendicular and of lengths 12 cm, 8 cm isa)96cm2b)192cm2c)36cm2d)48cm2Correct answer is option 'D'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The area of quadrilateral ABCD whose diagonals are perpendicular and of lengths 12 cm, 8 cm isa)96cm2b)192cm2c)36cm2d)48cm2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The area of quadrilateral ABCD whose diagonals are perpendicular and of lengths 12 cm, 8 cm isa)96cm2b)192cm2c)36cm2d)48cm2Correct answer is option 'D'. Can you explain this answer?.
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