Question

the area of rhombus is 72cm square. If the perimeter is 32cm, find its altitude.

Answer 1

Answer:

Length of the altitude of the rhombus is 9 m.

Step-by-step explanation:

It is given that the perimeter of the rhombus is 32 m and area of the rhombus is 72 m^2.

Perimeter of rhombus = 32 m

We know( formula ),

Perimeter of rhombus = 4 x side

Now, comparing the perimeter of rhombus with the given formula,

= >  4 x side = 32 m

= >  side = 32 / 4 m

= >  side = 8 m

Hence,

side of the rhombus is 8m.

We know( formula ),

Area of rhombus = side x altitude

Then, comparing the area of rhombus with the given formula

= >  72 m^2 = 8 m^2 x altitude

= >  72 m^2 / 8 m = altitude

= >  9 m = altitude

Therefore the length of the altitude of the rhombus is 9 m.

Answer 2

$\large \tt AHOY!! \:$

given :-

area of the rhombus = 72cm

perimeter of the rhombus = 32cm

here we have to find the altitude of the rhombus.

formul for area of a rhombus = side × attitude

=> side × altitude = 72cm² …(1)

side of the rhombus is not given here.

but we can easily find the side of the rhombus using it's perimeter.

we know that all sides of a rhombus is equal.

so we can write,

=> 4 × side = 32cm

=> side = 32/4

=> side = 8cm …(2)

the side of the rhombus is 8cm.

substitute (2) in (1)

=> 8 × altitude = 72cm²

=> altitude = 72/8

=> altitude = 9cm

hence the altitude of the rhombus is 9cm.

$\large \tt HOPE \: THIS \: HELPS!!$