In a parallelogram ABCD, BC $=$ 8.7 cm and its perimeter is 25 cm. Then AB equals

16.3 cm

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8.15 cm

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3.8 cm

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4.2 cm

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Solution

The correct option is C 3.8 cm
In the parallelogram ABCD $A B = C D, B C = A D$
Given , $A B + C D + B C + A D = 25$
$\Rightarrow 2 A B + 2 (8.7) = 25$
$\Rightarrow 2 A B = 25 - 17.4$
$\Rightarrow 2 A B = 7.6$
$\Rightarrow A B = 3.8$
Option C is correct.

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