Question

Find the length of the diagonal AC of the parallelogram ABCD when AE = 4x + 5 and EC = 3x + 7

• A. 52 cm
• B. 26 cm
• C. 13 cm
• D. Can not be determined

Answer 1

The correct option is B

26 cm

We know that, in a parallelogram the diagonals bisect each other.

So, AE = EC

Here, 4x + 5 = 3x + 7 4x - 3x = 7 - 5 x = 2

AE = 4 (2) + 5 = 13

EC = 3 (2) + 7 = 13

Length of diagonal AC = AE + EC = 13 + 13 = 26cm