Question

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Q.2 ABCD is a parallelogram where AB = x + 5 and CD = 2x - 7. Find the length of the CD​

Answer 1

Answer:

Length of CD is 17 unit.

Step-by-step explanation:

Given,

ABCD is a parallelogram where AB = x + 5 and CD = 2x - 7.

Solution:

Using the properties of parallelogram i.e the opposite sides are equal and parallel in a parallelogram.

So, AB = CD

or, x + 5 = 2x - 7

or, x - 2x = -7 - 5

or, -x = - 12

or, x = 12

Then, length of CD = 2x - 7 = 2*12 - 7 = 24 - 7 = 17 unit

Therefore, Length of CD is 17 unit.