Question

ABCD is a rhombus .If ab= 4cm, then what is the perimeter of ABCD?​

Answer 1

AnswEr:

perimeter of rhombus ABCD is 16 cm.

ExplanaTion:

We know that, All sides of rhombus are equal.

It is given that, one side, AB = 4cm,

$\therefore$ AB = BC = CD = AD = 4cm

Now, we also know that, perimeter of rhombus is sum of all sides.

$\implies$ Perimeter of rhombus ABCD = AB + BC + CD + AD

$\implies$ Perimeter of rhombus ABCD = 4 + 4 + 4 + 4

$\implies$ Perimeter of rhombus ABCD = 16 cm.

Hence, perimeter of rhombus ABCD is 16 cm.

$\rule{200}2$

ExTra about rhombus :

• All sides are equal
• All angles are of 90°
• Diagonals bisect each other at 90°
• All sides are parallel too.

Answer 2

AnSwEr :-

• Perimeter of Rhombus(ABCD) = 16cm

GiVeN:-

• ABCD is a rhombus

• AB = 4cm

To FiNd :-

• Perimeter of rhombus ABCD

SoLuTiOn :-

• We know that all sides in a rhombus are equal.

So,

AB = BC = CD = DA

=> AB + BC + CD + DA

=> 4AB

So,

• Perimeter of Rhombus = 4a

• => 4 × 4 = 16 cm

More about Rhombus.

• All sides are equal
• Opposite sides are parallel
• Diagonals bisect each other at right angles.
• Opposite angles are equal.