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In rectangle ABCD, AC = $(3 x + 2)$ cm and BD = $(5 x - 6)$ cm. Find AC.

Class 9Rectangle, Rhombus and SquareGeometry — Quadrilaterals

A7 cm
B4 cm
C8 cm
D14 cm

Step-by-Step Solution

Diagonals are equal:

3 x + 2 = 5 x - 6

, so

x = 4

and AC =

3 (4) + 2 = 14

cm. (4 is

x

, not the length.)

Answer: D) 14 cm

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