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Vector Addition

In parallelog...

Question

In parallelogram ABCD, $∠ A = 3 ∠ B$ . In the same parallelogram, if AB $= 5 x - 7$ and $C D = 3 x + 1$ ; find the length of CD.

C D = 16

units

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C D = 11

units

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C D = 13

units

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C D = 15

units

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Solution

The correct option is D $C D = 13$ units

AB $=$ CD ( Opposite sides of parallelogram)
$⟹ 5 x - 7 = 3 x + 1$
$⟹ x = 4$
$∴$ AB $=$ CD $= 13$ units.

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