Question

The Area of Parallelogram is 32 cm² , its Base is 8 cm. Then find its Height .​

Answer 1

Question :-

• The Area of Parallelogram is 32 cm², its Base is 8 cm . Then find its Height .

Answer :-

• Height of Parallelogram is 4 cm .

`\rule {210pt} {2pt}`

Given :-

• Area of Parallelogram = 32 cm²
• Base of Parallelogram = 8 cm

To Find :-

• Height of Parallelogram = ?

Solution :-

As per the provided information in the given question, we have been given that the Area of Parallelogram is 32 cm² . Base of Parallelogram is given 8 cm . And, we have been asked to calculate the Height of Parallelogram .

For calculating the Height , we will use the Formula :-

`\bigstar \: \: \boxed{ \sf{ \: Area \: _(Parallelogram) \: = \: Base \: * \: Height \: }}`

Therefore , by Substituting the given values in the above Formula :-

`\longmapsto \: \: \sf{ Area \: _(Parallelogram) \: = \: Base \: * \: Height} \\`

`\longmapsto \: \: \sf{ 32 \: = \: 8 \: * \: Height} \\`

`\longmapsto \: \: \sf{ (32)/(8) \: = \: Height } \\`

`\longmapsto \: \: \sf{ (4)/(1) \: = \: Height } \\`

`\longmapsto \: \: \textbf {\textsf {Height = 4 cm}}`

Hence :-

• Height of Parallelogram = 4 cm .

`\underline {\rule {210pt} {4pt}}`

Additional Information :-

`\begin{gathered} \begin{gathered}\begin{gathered}\boxed{\begin{array}{c} \\ \underline{ { \textbf {\textsf \red{ \dag \: \: More \: Formulas \: \: \dag}}}} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _(Square) = Side * Side} \\ \\ \\ \footnotesize\bigstar \: \bf{Area \: _(Rectangle) = Lenght * Breadth} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _(Triangle) = (1)/(2) * Base * Height } \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _(Parallelogram) = Base * Height} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _(Trapezium) = (1)/(2) * [ \: A + B \: ] * Height } \\ \\ \\ \footnotesize \bigstar \: \bf {Area \: _(Rhombus) = (1)/(2) * Diagonal \: 1 * Diagonal \: 2}\end{array}}\end{gathered}\end{gathered} \end{gathered}`

Answer 2

Area of a parallelogram is base times it's height, here so if we assume the height to be H, then:

→ H × 8 = 32

→ H = (32/8)

→ H = 4 cm