If ABCD is a rectangle , find the values of x and y

(a) X = 10, y = 2   (b) X = 12, y = 8  

(c) X = 2,y = 10   (d) X = 20, y = 0

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Question 15 If ABCD is a rectangle , find the values of x and y (a) X = 10, y = 2 (b) X = 12, y = 8 (c) X = 2,y = 10 (d) X = 20, y = 0 Since ABCD is a rectangle Opposite sides are equal Therefore, x + y = 12 x − y = 8 Adding (1) and (2) (x + y) + (x − y) = 12 + 8 2x = 20 x = 20/2 x = 10 Putting x = 10 in (1) x + y = 12 10 + y = 12 y = 12 − 10 y = 2 ∴ x = 10, y = 2 So, the correct answer is (a)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.