Question
Download Solution PDFIf ABCD is a parallelogram then, what are the sides of the parallelogram?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept used:
The opposite sides of the parallelogram are equal
Calculation:
Now,
2x + 5 = 2y + 1
⇒ 2y - 2x = 5 - 1
⇒ 2(y - x) = 4
⇒ y - x = 2 ----(1)
And, 2y - 6 = x + 3
⇒ 2y - x = 3 + 6
⇒ 2y - x = 9 ----(2)
Subtracting eq(1) from eq(2)
2y - x - y + x = 9 - 2
⇒ y = 7
From eq (1),
x = 5
Side of the parallelogram = 2x + 5 = 2 × 5 + 5 = 15
And, x + 3 = 5 + 3 = 8
∴ The side of the parallelogram are 15 units and 8 units
Last updated on May 8, 2025
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