Class 9 Exam > Class 9 Questions > ABCD is a Rectangle. Find the values of x and...
Start Learning for Free
ABCD is a Rectangle. Find the values of x and y?
AB =30 DA= 14 DC= x+y CB=x-y
- a)20 and 10
- b)25 and 5
- c)24 and 6
- d)22 and 8
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
ABCD is a Rectangle. Find the values of x and y?AB =30 DA= 14 DC= x+y ...
ABCD is a rectangle.
∴ AB = CD
⇒ 30 = x + y
or x + y = 30 ..... (i)
Similarly, AD = BC
⇒ 14 = x - y
or x - y = 14 .......(ii)
On adding eq. (i) and (ii), we get
2x = 44
⇒ x = 22
Putting the value of x in eq. (i), we get
22 + y = 30
⇒ y = 30 -22
⇒ y = 8
So, x = 22, y = 8.
∴ AB = CD
⇒ 30 = x + y
or x + y = 30 ..... (i)
Similarly, AD = BC
⇒ 14 = x - y
or x - y = 14 .......(ii)
On adding eq. (i) and (ii), we get
2x = 44
⇒ x = 22
Putting the value of x in eq. (i), we get
22 + y = 30
⇒ y = 30 -22
⇒ y = 8
So, x = 22, y = 8.
Most Upvoted Answer
ABCD is a Rectangle. Find the values of x and y?AB =30 DA= 14 DC= x+y ...
X+y=30.
x-y=14.
2x=16.
x= 8.
put the value of x.
8+y=30 .
y=30-8.
y=22
so x=8 ,y= 22
x-y=14.
2x=16.
x= 8.
put the value of x.
8+y=30 .
y=30-8.
y=22
so x=8 ,y= 22
Free Test
FREE
| Start Free Test |
Community Answer
ABCD is a Rectangle. Find the values of x and y?AB =30 DA= 14 DC= x+y ...
To find the values of x and y in the rectangle ABCD, we can use the properties of a rectangle.
Given:
AB = 30
DA = 14
DC = x + y
CB = x - y
We know that in a rectangle, opposite sides are equal in length. So, AB = CD and DA = CB.
Using the given information, we can write two equations:
AB = CD
30 = x + y
DA = CB
14 = x - y
Now, we have a system of equations that we can solve to find the values of x and y.
Adding the two equations, we get:
30 + 14 = (x + y) + (x - y)
44 = 2x
Dividing both sides of the equation by 2, we get:
22 = x
Now, substitute the value of x in one of the original equations to find y:
14 = x - y
14 = 22 - y
Subtracting 22 from both sides of the equation, we get:
-8 = -y
Multiplying both sides of the equation by -1, we get:
8 = y
Therefore, the values of x and y are 22 and 8 respectively.
Thus, the correct answer is option D (22 and 8).
Given:
AB = 30
DA = 14
DC = x + y
CB = x - y
We know that in a rectangle, opposite sides are equal in length. So, AB = CD and DA = CB.
Using the given information, we can write two equations:
AB = CD
30 = x + y
DA = CB
14 = x - y
Now, we have a system of equations that we can solve to find the values of x and y.
Adding the two equations, we get:
30 + 14 = (x + y) + (x - y)
44 = 2x
Dividing both sides of the equation by 2, we get:
22 = x
Now, substitute the value of x in one of the original equations to find y:
14 = x - y
14 = 22 - y
Subtracting 22 from both sides of the equation, we get:
-8 = -y
Multiplying both sides of the equation by -1, we get:
8 = y
Therefore, the values of x and y are 22 and 8 respectively.
Thus, the correct answer is option D (22 and 8).
|
Explore Courses for Class 9 exam
|
|
Top Courses for Class 9View all
Question Description
ABCD is a Rectangle. Find the values of x and y?AB =30 DA= 14 DC= x+y CB=x-ya)20 and 10b)25 and 5c)24 and 6d)22 and 8Correct 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 ABCD is a Rectangle. Find the values of x and y?AB =30 DA= 14 DC= x+y CB=x-ya)20 and 10b)25 and 5c)24 and 6d)22 and 8Correct 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 ABCD is a Rectangle. Find the values of x and y?AB =30 DA= 14 DC= x+y CB=x-ya)20 and 10b)25 and 5c)24 and 6d)22 and 8Correct answer is option 'D'. Can you explain this answer?.
ABCD is a Rectangle. Find the values of x and y?AB =30 DA= 14 DC= x+y CB=x-ya)20 and 10b)25 and 5c)24 and 6d)22 and 8Correct 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 ABCD is a Rectangle. Find the values of x and y?AB =30 DA= 14 DC= x+y CB=x-ya)20 and 10b)25 and 5c)24 and 6d)22 and 8Correct 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 ABCD is a Rectangle. Find the values of x and y?AB =30 DA= 14 DC= x+y CB=x-ya)20 and 10b)25 and 5c)24 and 6d)22 and 8Correct answer is option 'D'. Can you explain this answer?.
Solutions for ABCD is a Rectangle. Find the values of x and y?AB =30 DA= 14 DC= x+y CB=x-ya)20 and 10b)25 and 5c)24 and 6d)22 and 8Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of ABCD is a Rectangle. Find the values of x and y?AB =30 DA= 14 DC= x+y CB=x-ya)20 and 10b)25 and 5c)24 and 6d)22 and 8Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
ABCD is a Rectangle. Find the values of x and y?AB =30 DA= 14 DC= x+y CB=x-ya)20 and 10b)25 and 5c)24 and 6d)22 and 8Correct answer is option 'D'. Can you explain this answer?, a detailed solution for ABCD is a Rectangle. Find the values of x and y?AB =30 DA= 14 DC= x+y CB=x-ya)20 and 10b)25 and 5c)24 and 6d)22 and 8Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of ABCD is a Rectangle. Find the values of x and y?AB =30 DA= 14 DC= x+y CB=x-ya)20 and 10b)25 and 5c)24 and 6d)22 and 8Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice ABCD is a Rectangle. Find the values of x and y?AB =30 DA= 14 DC= x+y CB=x-ya)20 and 10b)25 and 5c)24 and 6d)22 and 8Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup