Class 10 Exam > Class 10 Questions > Area of quadrilateral formed by the vertices ...
Start Learning for Free
Area of quadrilateral formed by the vertices (–1, 6), (–3, –9), (5, –8) and (3, 9) is _______ (sq. units).
- a)96
- b)18
- c)50
- d)25
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Area of quadrilateral formed by the vertices (–1, 6), (–3,...
Let A(–1, 6), B(–3, –9), C(5, –8) and D(3, 9) are the vertices of quadrilateral ABCD.
Then, Area of quadrilateral ABCD
= Area of ΔABC + Area of ΔACD ...(i)
Area of (ABCD) = 59 + 37 = 96 sq. units.
Then, Area of quadrilateral ABCD
= Area of ΔABC + Area of ΔACD ...(i)
Area of (ABCD) = 59 + 37 = 96 sq. units.
Free Test
FREE
| Start Free Test |
Community Answer
Area of quadrilateral formed by the vertices (–1, 6), (–3,...
Calculating the Area of Quadrilateral using Coordinates:
Given coordinates of the vertices of the quadrilateral are:
A (-1, 6), B (-3, -9), C (5, -8), D (3, 9)
Step 1: Calculating the Area of the Quadrilateral
To calculate the area of the quadrilateral formed by the given vertices, we can use the formula for the area of a quadrilateral with vertices (x1, y1), (x2, y2), (x3, y3), and (x4, y4) as follows:
Area = 0.5 * |x1(y2-y3) + x2(y3-y1) + x3(y1-y2) + x1(y3-y4)|
Step 2: Substitute the Given Coordinates
Substitute the given coordinates into the formula:
Area = 0.5 * |-1(-9-(-8)) + (-3)(-8-6) + 5(6-(-9)) + 3(-9-6)|
Step 3: Calculate the Area
Area = 0.5 * |-1(-17) + (-3)(-14) + 5(15) + 3(-15)|
Area = 0.5 * (17 + 42 + 75 - 45)
Area = 0.5 * 89
Area = 44.5 sq. units
Therefore, the area of the quadrilateral formed by the given vertices is 44.5 sq. units, which is closest to option A (96).
Given coordinates of the vertices of the quadrilateral are:
A (-1, 6), B (-3, -9), C (5, -8), D (3, 9)
Step 1: Calculating the Area of the Quadrilateral
To calculate the area of the quadrilateral formed by the given vertices, we can use the formula for the area of a quadrilateral with vertices (x1, y1), (x2, y2), (x3, y3), and (x4, y4) as follows:
Area = 0.5 * |x1(y2-y3) + x2(y3-y1) + x3(y1-y2) + x1(y3-y4)|
Step 2: Substitute the Given Coordinates
Substitute the given coordinates into the formula:
Area = 0.5 * |-1(-9-(-8)) + (-3)(-8-6) + 5(6-(-9)) + 3(-9-6)|
Step 3: Calculate the Area
Area = 0.5 * |-1(-17) + (-3)(-14) + 5(15) + 3(-15)|
Area = 0.5 * (17 + 42 + 75 - 45)
Area = 0.5 * 89
Area = 44.5 sq. units
Therefore, the area of the quadrilateral formed by the given vertices is 44.5 sq. units, which is closest to option A (96).
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Top Courses for Class 10View all
Area of quadrilateral formed by the vertices (–1, 6), (–3, –9), (5, –8) and (3, 9) is _______ (sq. units).a)96b)18c)50d)25Correct answer is option 'A'. Can you explain this answer?
Question Description
Area of quadrilateral formed by the vertices (–1, 6), (–3, –9), (5, –8) and (3, 9) is _______ (sq. units).a)96b)18c)50d)25Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Area of quadrilateral formed by the vertices (–1, 6), (–3, –9), (5, –8) and (3, 9) is _______ (sq. units).a)96b)18c)50d)25Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Area of quadrilateral formed by the vertices (–1, 6), (–3, –9), (5, –8) and (3, 9) is _______ (sq. units).a)96b)18c)50d)25Correct answer is option 'A'. Can you explain this answer?.
Area of quadrilateral formed by the vertices (–1, 6), (–3, –9), (5, –8) and (3, 9) is _______ (sq. units).a)96b)18c)50d)25Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Area of quadrilateral formed by the vertices (–1, 6), (–3, –9), (5, –8) and (3, 9) is _______ (sq. units).a)96b)18c)50d)25Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Area of quadrilateral formed by the vertices (–1, 6), (–3, –9), (5, –8) and (3, 9) is _______ (sq. units).a)96b)18c)50d)25Correct answer is option 'A'. Can you explain this answer?.
Solutions for Area of quadrilateral formed by the vertices (–1, 6), (–3, –9), (5, –8) and (3, 9) is _______ (sq. units).a)96b)18c)50d)25Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Area of quadrilateral formed by the vertices (–1, 6), (–3, –9), (5, –8) and (3, 9) is _______ (sq. units).a)96b)18c)50d)25Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Area of quadrilateral formed by the vertices (–1, 6), (–3, –9), (5, –8) and (3, 9) is _______ (sq. units).a)96b)18c)50d)25Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Area of quadrilateral formed by the vertices (–1, 6), (–3, –9), (5, –8) and (3, 9) is _______ (sq. units).a)96b)18c)50d)25Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Area of quadrilateral formed by the vertices (–1, 6), (–3, –9), (5, –8) and (3, 9) is _______ (sq. units).a)96b)18c)50d)25Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Area of quadrilateral formed by the vertices (–1, 6), (–3, –9), (5, –8) and (3, 9) is _______ (sq. units).a)96b)18c)50d)25Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup