Mathematics
In figure (1) given below, ABCD is a parallelogram with perimeter 40. Find the values of x and y.
![In figure (1) given below, ABCD is a parallelogram with perimeter 40. Find the values of x and y. Rectilinear Figures, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.](https://cdn1.knowledgeboat.com/img/mla9/q5a-c13-1-rectilinear-ml-aggarwal-solutions-icse-class-9-1186x1008.png)
Rectilinear Figures
ICSE
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Answer
In parallelogram opposite sides are equal.
∴ BC = AD = 2x and
AB = CD
⇒ 3x = 2y + 2
⇒ 2y = 3x - 2
⇒ y = ……..(i)
Given, perimeter = 40.
⇒ AB + BC + CD + AD = 40
⇒ 3x + 2x + 2y + 2 + 2x = 40
⇒ 3x + 2x + + 2 + 2x = 40
⇒ 3x + 2x + 3x - 2 + 2 + 2x = 40
⇒ 10x = 40
⇒ x = 4.
⇒ y = .
Hence, x = 4 and y = 5.
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