Question

In rhombus PURE , PE = 3x and PU =2(x + 3). Find the length of each side of the rhombus.

Answer 1

In rhombus PURE, PE= 3x and

PU=2 (x+3)

Since in a rhombus all sides are equal

Therefore, PE=PU

3x=2 (x+3)

3x=2x+6

3x-2x=6

x=6cm

PE = 3x = 3×6 = 18cm

Since all sides are equal

Therefore all sides are 18 cm