Question

Find the Height of the Parallelogram if the Area of Parallelogram is 36 cm² and Base is 9 cm​ and Base in 9 cm ?

•Don't Spam !!
•Answer With Full Explanation !!
•Don't Greedy For Points !!​

Answer 1

Answer:

Also, the area of the parallelogram ABCD is equal to 36 cm2. So, AB×x=36. Hence, the height of the parallelogram ABEF is 8.57 cm.

Best of luck your future

Answer 2

Given : The Area of Parallelogram is 36 cm² and Base is 9 cm.

To Find : Height of the Parallelogram ?

_____________________

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

$\underline{\frak{As ~we~ know~ that~:}}$

• $\boxed{\sf\pink{Area_{(Parallelogram)}~=~b~×~h}}$★

$~$

Solution : Here b is the Base of Parallelogram in cm & h is the Height of Parallelogram in cm. And we have given with the Area of Parallelogram is 36 cm².

$~$

$\underline{\bf{Now ~By ~Substituting~ the ~Given~ Values~:}}$

$~$

$~~~~~~~~~~{\sf:\implies{36~cm^{2}~=~9~×~h}}$

$~~~~~~~~~~{\sf:\implies{h~=~\dfrac{36}{9}}}$

$~~~~~~~~~~{\sf:\implies{h~=~\cancel\dfrac{36}{6}}}$

$~~~~~~~~~~:\implies{\underline{\boxed{\frak{\pink{h~4~cm}}}}}$★

$~$

Hence,

$\therefore\underline{\sf{Height~ of ~the ~Parallelogram ~is~\bold{4~cm}}}$

$~$

________________________________________________

V E R I F I C A T I O N :

$~$

$\underline{\frak{As ~we ~know~ that~:}}$

• $\boxed{\sf\pink{Area_{(Parallelogram)}~=~b~×~h}}$★

$~$

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

$~$

$\underline{\bf{Now~ By ~Substituting ~the ~Given ~and~ Found~ Values~:}}$

$~$

$~~~~~~~~~~{\rm:\implies{36~cm^{2}~=~9~×~4}}$

$~~~~~~~~~~:\implies\boxed{\rm\pink{36~cm^{2}~=~36~cm^{2}}}$★

$~~~~$$\qquad\quad\therefore\underline{\textsf{\textbf{Hence Verified!}}}$

$~$

__________________________________________

More Information :

$~~~$$\qquad\quad\underline{\textsf{\textbf\pink{Formula's~of~Areas~:}}}$

• ${\rm\leadsto{Square~=~(Side)^2}}$

• ${\rm\leadsto{Rectangle~=~Length~×~Breadth}}$

• ${\rm\leadsto{Triangle~=~\dfrac{1}{2}~×~Breadth ~×~Height}}$

• ${\rm\leadsto{Scalene\triangle~=~\sqrt{s(s~-~a)(s~-~b)(s~-~c)}}}$

• ${\rm\leadsto{Rhombus~=~\dfrac{1}{2}~×~d_{1}~×~d_{2}}}$

• ${\rm\leadsto{Rhombus~=~\dfrac{1}{2}p\sqrt{4a^{2}~-~p^{2}}}}$

• ${\rm\leadsto{Parallelogram~=~ Breadth~×~ Height}}$

• ${\rm\leadsto{Trapezium~=~\dfrac{1}{2}(a~+~b)~×~Height}}$

• ${\rm\leadsto{Equilateral~Triangle~=~\dfrac{\sqrt{3}}{4}(Side)^2}}$