Question

find the height if the area of the parrelogram is 36 square cm and base is 9 cm​

Answer 1

Correct Question :

• Find the height of the parallelogram if the area of parallelogram is 36 cm² and base in 9 cm .

Given : The area of parallelogram is 36 cm² and base in 9 cm .

Need To Find : The Height of Parallelogram.

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❍ Let's Consider the Height of the Parallelogram be h .

$\underline{\frak{ As, \:We\:know\:that\::}}$

⠀⠀⠀⠀⠀$\sf{\boxed {\sf{\red{ Area_{(Parallelogram)} = b \times h \:sq.units}}}}$

⠀⠀⠀⠀⠀Here b is the Base of parallelogram in cm and h is the Height of Parallelogram in cm . And we have given with the Area of Parallelogram is 36 cm² .

⠀⠀⠀⠀⠀⠀$\underline {\frak{\star\:Now \: By \: Substituting \: the \: Given \: Values \::}}$

⠀⠀⠀⠀⠀$:\implies \tt{ 36cm^{2} = 9 \times h }$

⠀⠀⠀⠀⠀$:\implies \tt{ \dfrac{36}{9} = h }$

⠀⠀⠀⠀⠀$:\implies \tt{ \dfrac{\cancel {36}}{\cancel {9}} = h }$

⠀⠀⠀⠀⠀$\underline {\boxed{\pink{ \mathrm {  h = 4\: cm}}}}\:\bf{\bigstar}$

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline { \mathrm{ \pink {  Height \:of\:Parallelogram \:is\:4\: cm}}}}$

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

$\qquad\quad\boxed{\bf{\mid{\overline{\underline{\large{\bigstar\: Verification \: :}}}}}\mid}$

$\underline{\frak{ As, \:We\:know\:that\::}}$

⠀⠀⠀⠀⠀$\sf{\boxed {\sf{\red{ Area_{(Parallelogram)} = b \times h \:sq.units}}}}$

⠀⠀⠀⠀⠀Here b is the Base of parallelogram in cm and h is the Height of Parallelogram in cm . And we have given with the Area of Parallelogram is 36 cm² .

⠀⠀⠀⠀⠀⠀$\underline {\frak{\star\:Now \: By \: Substituting \: the \: Given \:and\:found\: Values \::}}$

⠀⠀⠀⠀⠀$:\implies \tt{ 36cm^{2} = 9 \times 4 }$

⠀⠀⠀⠀⠀$\underline {\boxed{\pink{ \mathrm {  36cm^{2} = 36\: cm^{2}}}}}\:\bf{\bigstar}$

⠀⠀⠀⠀⠀$\therefore \underline {\bf{ Hence \;Verified \:}}$

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

$\qquad\quad\boxed{\bf{\mid{\overline{\underline{\large{\bigstar\: More \: to \; know\: :}}}}}\mid}$

⠀⠀

$\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}p\sqrt {4a^2-p^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}$

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Answer 2

Correct Question :

• Find the height of the parallelogram if the area of parallelogram is 36 cm² and base in 9 cm .

Given : The area of parallelogram is 36 cm² and base in 9 cm .

Need To Find : The Height of Parallelogram.

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

❍ Let's Consider the Height of the Parallelogram be h .

$\begin{gathered}\underline{\frak{ As, \:We\:know\:that\::}}\\\end{gathered}$

⠀⠀⠀⠀⠀$\begin{gathered}\sf{\boxed {\sf{\green{ Area_{(Parallelogram)} = b \times h \:sq.units}}}}\\\end{gathered}$

⠀⠀⠀⠀⠀Here b is the Base of parallelogram in cm and h is the Height of Parallelogram in cm . And we have given with the Area of Parallelogram is 36 cm² .

⠀⠀⠀⠀⠀⠀$\begin{gathered}\underline {\frak{\star\:Now \: By \: Substituting \: the \: Given \: Values \::}}\\\end{gathered}$

⠀⠀⠀⠀⠀$\begin{gathered}:\implies \sf{ 36cm^{2} = 9 \times h }\\\end{gathered}$

⠀⠀⠀⠀⠀$\begin{gathered}:\implies \sf{ \dfrac{36}{9} = h }\\\end{gathered}$

⠀⠀⠀⠀⠀$\begin{gathered}:\implies \sf{ \dfrac{\cancel {36}}{\cancel {9}} = h }\\\end{gathered}$

⠀⠀⠀⠀⠀$\begin{gathered}\underline {\boxed{\purple{ \sf { h = 4\: cm}}}}\:\bf{\bigstar}\\\end{gathered}$

Therefore,

⠀⠀⠀⠀⠀$\begin{gathered}\therefore {\underline { \sf { Height \:of\:Parallelogram \:is\:{\textsf{\textbf{4\: cm}}}}}}\\\end{gathered}$

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

$\begin{gathered}\qquad\quad\boxed{\bf{\mid{\overline{\underline{\large{\bigstar\: Verification \: :}}}}}\mid}\\\\\\\end{gathered}$

$\begin{gathered}\underline{\frak{ As, \:We\:know\:that\::}}\\\end{gathered}$

⠀⠀⠀⠀⠀$\begin{gathered}\sf{\boxed {\sf{\green{ Area_{(Parallelogram)} = b \times h \:sq.units}}}}\\\end{gathered}$

⠀⠀⠀⠀⠀Here b is the Base of parallelogram in cm and h is the Height of Parallelogram in cm . And we have given with the Area of Parallelogram is 36 cm² .

⠀⠀⠀⠀⠀⠀$\begin{gathered}\underline {\frak{\star\:Now \: By \: Substituting \: the \: Given \:and\:found\: Values \::}}\\\end{gathered}$

⠀⠀⠀⠀⠀$\begin{gathered}:\implies \sf{ 36cm^{2} = 9 \times 4 }\\\end{gathered}$

⠀⠀⠀⠀⠀$\begin{gathered}\underline {\boxed{\purple{ \sf { 36cm^{2} = 36\: cm^{2}}}}}\:\bf{\bigstar}\\\end{gathered}$

⠀

⠀⠀⠀⠀⠀$\begin{gathered} \underbrace{\textsf{\textbf{❛ Hence \;Verified ❞}}}\\\end{gathered}$

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀${\textsf{\textbf{\red{@ItzAakriti⚘}}}}$