Question

The area of a rhombus is 9.72m2 and its perimeter is 8m . Find its altitude.

Answer 1

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Explanation:

Given:

Area of a rhombus =$9.72 {m}^{2}$

Perimeter is 8m

To Find :

Altitude of the Rhombus

Perimeter of the Rhombus =8m

$4a = 8$

$\bold{a = 2}$

Therefore,the side of the Rhombus is 2m

We know that the all sides of the Rhombus are equal so sides are 2m each.

$\bold{\boxed{Altitude = area \div base}}$

$Altitude = \frac{9.72 }{2} = \frac{972}{200} = \frac{486}{100} = {\red{4.86m}}$

Therefore ,Altitude of the Rhombus is 4.86m.