Question

The area of rhombus is 119 cm^2 and it's perimeter is 51 cm. Find it's altitude​

Answer 1

Given :-

• The area of rhombus is 119 cm² .

• The perimeter of rhombus is 51 cm.

To Find :-

• The altitude of rhombus.

Solution :-

We know the perimetre of a rhombus is 51 cm.

The perimetre of a rhombus is 4a.

➝ 4a = 51

➝ a = $\dfrac{51}{4}$

➝ a ≈ 12.8 cm

Area of rhombus = Base × hieght

➝ 119 = 12.8 × hieght

➝ $\cancel{\dfrac{119}{12.8}}$ = hieght

➝ Hieght ≈ 9.3 cm

The altitude of rhombus is 9.3 cm .

____________________________________

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\put(0,0){\line(1,3){1.5}}\put(0,0){\line(1,0){5}}\put(5,0){\line(1,3){1.5}}\put(1.5,4.5){\line(1,0){5}}\put(-0.5,-0.5){\sf D}\put(1,4.8){\sf A}\put(5.2,-0.5){\sf C}\put(6.7,4.75){\sf B}\end{picture}$