Question

the area of a rhombus is 120cm² and its perimeter is 50cm.find its height.​

Answer 1

❏ QuesTion :-

$\red{ \sf if \: area \: of \: a \: rhombus \: is \: 120 {cm}^{2} \: and} \\ \green{ \sf its \: perimeter \: is \: 50 \: cm \: find \: its \: height \: .}$

❏Answer :-

$\to \red{\boxed{ \green{\sf h = 9.6 \:} cm}} \:$

❏To Find :-

→ Height (h) of rhombus.

❏SoluTion :-

Given that

→ Area of rhombus = 120 cm²

→ Perimeter of rhombus = 50 cm

Let side of rhombus is a .

$\to \sf \red{ Perimeter \: of \: rhombus } \: = \blue{4 \times side(a) }\\ \\ \to \sf 50 = 4 \: a \\ \\ \to \sf \: \boxed{ \green{ \sf \: a = \frac{25}{2} \: cm}} \\ \\ \red{ \bf \: we \: know \: that \: } \\ \\ \to \sf \orange{area \: of \: rhombus \: } = height \times side \\ \\ \because \sf \blue{area \:of \: rhombus \: }= 120 \: {cm}^{2} \\ \therefore \\ \\ \to \sf \: 120 \: = \red{h \: \times \frac{25}{2}} \\ \\ \to \sf \: h = \green{ \frac{120 \times 2}{25} }\\ \\ \to \sf \: h = \frac{240}{25} \\ \\ \to \red{\boxed{ \sf h = 9.6 \: cm}}$

Therefore height of rhombus is 9.6 cm •

Hope it helps you .

Answer 2

Answer:

Height Of Rhombus = 9.6 cm

Step-by-step explanation:

We Have :-

Perimeter of Rhombus = 50 cm

Area of Rhombus = 120 cm²

To Find :-

Height

Formula Used ;-

Area of Rhombus = Base * Height

Perimeter of Rhombus = 4 * side

Solution :-

50 = 4 * side

side = 12.5cm

Area = 12.5 * height

120 = 12.5 * height

height = 9.6cm

Height of Rhombus = 9.6 cm