Question

the are of rhombus is 441 cm2 and it's perimeter is 84cm find its altitude

Answer 1

Perimeter of rhombus is 4s
4s=84
S=84/4=21
Area=altitude*s
441=altitude*21
Altitude=441/21
=21cm

Answer 2

The altitude of the rhombus is 21 cm.

Step-by-step explanation:

Perimeter of rhombus is

$Perimeter=4a$

where, a is side length.

It is given that the perimeter of rhombus is 84cm.

$84=4a$

Divide both sides by 4.

$21=a$

Area of rhombus is

$Area=base\times height$

It is given that the area of rhombus is 441 cm2.

Substitute Area = 441 and base=21.

$441=21\times height$

Divide both sides by 21.

$21=height$

Therefore, the altitude of the rhombus is 21 cm.

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Area of a rhombus:

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