Math, asked by s1218sanskrutikakade, 2 days ago

the area of parallelogram is 32 cm square 8 cm find its height​

Answers

Answered by TheAestheticBoy
15

Question :-

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

Answer :-

  • Height of Parallelogram is 4 cm .

 \rule {190pt}{2pt}

Given :-

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

To Find :-

  • Height of Parallelogram = ?

Solution :-

  • Here, Area is given 32 cm² . Base is 8 cm . And, we have to calculate the Height .

Formula Required :-

  •  \sf{ Area \: of \: Parallelogram  = B \times H} \\

Where ,

  • B denotes to the Base
  • H denotes to the Height

By substituting the values :-

 \Longrightarrow \:  \:  \sf{Area \: _{Parallelogram} = Base \times Height} \\

 \Longrightarrow \:  \:  \sf{32 \:  =  \: 8  \: \times \: Height } \\

 \Longrightarrow \:  \:  \sf{Height \:  =  \:  \frac{32}{8} } \\

 \Longrightarrow \:  \:  \sf{Height \:  =  \: 4 \: cm} \\

Hence :-

  • Height = 4 cm .

 \rule {190pt}{4pt}

 \begin{gathered}\begin{gathered}\boxed{\begin{array}{c} \\ \underline{ { \pmb {\sf \red{ \dag \:  \: More \: Formulas \:  \:  \dag}}}} \\  \\  \\  \footnotesize \bigstar  \:  \sf{Area \: of \: Square = Side \times Side}  \\  \\  \\   \footnotesize\bigstar  \:  \sf{Area \: of \: Rectangle = Lenght \times Breadth} \\  \\  \\  \footnotesize \bigstar \:  \sf{Area \: of \: Triangle =  \frac{1}{2} \times Base \times Height } \\  \\  \\  \footnotesize \bigstar \:  \sf{Area \: of \: Parallelogram = Base \times Height} \\  \\  \\  \footnotesize \bigstar \:  \sf{Area \: of \: Trapezium =  \frac{1}{2} \times [ \: A + B \: ] \times Height } \\ \\ \\ \footnotesize \bigstar \: \sf {Area \: of \: Rhombus = \frac{1}{2} \times Diagonal \: 1 \times Diagonal \: 2}\end{array}}\end{gathered}\end{gathered}

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