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ABCD is a parallelogram having its sides, AB = 4x + 1 BC = 2y + 3, CD = 25, DA = y + 28, then, x + y =
- a)29
- b)21
- c)25
- d)33
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
ABCD is a parallelogram having its sides, AB = 4x + 1 BC = 2y + 3, CD ...
In a parallelogram.
AB = CD, and, BC = DA
⇒ 4x + 1 = 25 and 2y + 3 = y + 28
⇒ x = 8, and, y = 25
∴ x + y = 8 + 25 = 33
AB = CD, and, BC = DA
⇒ 4x + 1 = 25 and 2y + 3 = y + 28
⇒ x = 8, and, y = 25
∴ x + y = 8 + 25 = 33
Most Upvoted Answer
ABCD is a parallelogram having its sides, AB = 4x + 1 BC = 2y + 3, CD ...
Given:
AB = 4x - 1
BC = 2y + 3
CD = 25
DA = y + 28
To prove:
x + y = 33
Proof:
Since ABCD is a parallelogram, opposite sides are equal.
Therefore, AB = CD and BC = DA.
AB = CD
4x - 1 = 25 (Substituting the values of AB and CD)
4x = 26
x = 26/4
x = 6.5
BC = DA
2y + 3 = y + 28 (Substituting the values of BC and DA)
y + 3 = 28
y = 28 - 3
y = 25
Now we need to find x + y.
x + y = 6.5 + 25
x + y = 31.5 + 25
x + y = 56.5
Therefore, the correct answer is option D, which is 56.5.
AB = 4x - 1
BC = 2y + 3
CD = 25
DA = y + 28
To prove:
x + y = 33
Proof:
Since ABCD is a parallelogram, opposite sides are equal.
Therefore, AB = CD and BC = DA.
AB = CD
4x - 1 = 25 (Substituting the values of AB and CD)
4x = 26
x = 26/4
x = 6.5
BC = DA
2y + 3 = y + 28 (Substituting the values of BC and DA)
y + 3 = 28
y = 28 - 3
y = 25
Now we need to find x + y.
x + y = 6.5 + 25
x + y = 31.5 + 25
x + y = 56.5
Therefore, the correct answer is option D, which is 56.5.
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