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length =16
breadth =10
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We know that Opposite sides of a rectangle are Congruent
4x + 2y = 2x + 3y + 4
4x - 2x +2y -3y = 4
2x - y = 4_________ 1
Similiarly,
2x + y +2 = 3x - y + 3
2x - 3x + y + y = 3-2
-x +2y = 1 __________2
Multiplying eq 2 by 2 we get,
-2x + 4y = 2_________3
Adding eq 1 and 3 we get
2x - y = 4
-2x + 4y = 2
= 3y = 6
y 6/3
y = 2
Substituting y = 2 in eq 1 we get
2x - 2 = 4
2x = 4 + 2
2x = 6
x = 6/2
x = 3
4x +2y = 4(3) + 2 (2)
= 12 + 4
= 16
2x + y + 2 = 2(3) + 2 + 2
= 6 + 4
= 10
Length = 16cm
Breadth = 10cm
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