Question

the area of a rombus is 1428 cm square and it's perimeter is 136 cm.What is it's altitude ?

Answer 1

Let each side of a rhombus be 'a'

Perimeter of Rhombus = 4a

4a = 136
a = 34 cm

Now area of Rhombus = Base x Altitude

Base = 34 cm
Area = 1428 sq cm

Altitude = Area ÷ Base
Altitude = 1428 ÷ 34 = 42 cm

Hence your required answer is 42 cm.

Hope This Helps You!

Answer 2

The altitude of the rhombus is 42 cm.

Step-by-step explanation:

Given : The area of a rhombus is 1428 cm square and it's perimeter is 136 cm.

To find : What is it's altitude ?

Solution :

The perimeter of the rhombus is $P=4a$

Where, P = 136 cm the perimeter

a is the side of rhombus

$136=4a$

$a=\frac{136}{4}$

$a=34$

The side of the rhombus is 34 cm.

The area of the rhombus is $A=a\times h$

Where, A=1428 cm square is the area

a=34 cm is the side

h is the altitude

Substitute the values,

$1428=34\times h$

$h=\frac{1428}{34}$

$h=42$

Therefore, the altitude of the rhombus is 42 cm.

#Learn more

Perimeter of a rhombus is 34 cm and sum of its diagonal is 23 cm. Area of rhombus is ________

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