Question

Perimeter of a rohumbus is 3.6 cm and its area is 90cm square . find its altitude

Answer 1

Answer:

• The altitude of the rhombus = 100 cm

Given :

• Perimeter of a rhombus is 3.6 cm

• Area of rhombus is 90 cm²

To find :

• Its altitude =?

Step-by-step explanation:

Perimeter of rhombus = 3.6 [Given]

4a(4 × side) = 3.6

a = 3.6/4

a = 0.9.

Area of rhombus = 90 cm² [Given]

a × l (side × altitude) = 90

Substituting the values in the above formula, we get,

0.9 x l = 90

l = 90/0.9

l = 100

Thus, The altitude of the rhombus = 100 cm

Answer 2

Answer:

${\underline{\boxed{\sf\green{Altitude \: of \: rhombus = 100 \: cm }}}}$

Question:-

Perimeter of a rhombus is 3.6 cm and it's area is 90 sq.cm.Find its altitude.

Given:-

• Perimeter = 3.6cm
• Area = 90 sq.cm

To find:-

• Altitude of rhombus = ?

We know,

$\star \: {\boxed{\sf\pink{Perimeter \: of \: rhombus = 4 * Side }}}$

$\rightarrow\sf 3.6 = 4 * Side \\\\\\\rightarrow\sf Side = 3.6 / 4 \\\\\\\rightarrow\sf Side = {\boxed{\sf\green{0.9 \: cm }}}$

$\rule{200}{1}$

Now we know,

$\star \: {\boxed{\sf\red{Area \: of \: rhombus = Side * Altitude }}}$

$\rightarrow\sf 90 = 0.9 * Altitude \\\\\\\rightarrow\sf Altitude = 90 / 0.9 \\\\\\\rightarrow\sf Altitude = {\boxed{\sf\blue{100 \: cm }}}$

${\underline{\therefore{\bold\purple{Altitude \: of \: rhombus = 100 \: cm }}}}$