Question

13. The area of a parallelogram is same as that of a
rectangle with dimension 40 cm by 12 cm. If the base of a parellelogram is 16 cm,find the height of parellogram .​

Answer 1

Answer:

The height of the parellogram is 30 cm

Step-by-step explanation:

Area of rectangle = 40 x 12

= 480cm²

Area of parellogram = b x h

480=16xh

h=480/16

= 30cm

Answer 2

$\begin{gathered}\begin{gathered}\bf Given -  \begin{cases} &\sf{length \: of \: rectangle \: = 40 \: cm} \\ &\sf{breadth \: of \: rectangle \: = 12 \: cm}\\ &\sf{base \: of \: parallelogram \: = 16 \: cm}\\ &\sf{Area_{(rectangle)} = Area_{(parallelogram)}} \end{cases}\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\bf  To \:  Find :-  \begin{cases} &\sf{height \: of \: parallelogram}  \end{cases}\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\bf Formula \: Used - \begin{cases} &\sf{Area_{(rectangle)} = length \: \times \: breadth} \\ &\sf{Area_{(parallelogram )}= base \times height} \end{cases}\end{gathered}\end{gathered}$

$\large\underline\purple{\bold{Solution :- }}$

$\begin{gathered}\tt\red{According \: to \: statement}\end{gathered}$

$\blue{ \bf \:  ⟼ Area_{(rectangle)} = Area_{(parallelogram)}}$

$\tt \:  ⟼ length \times breadth = base \times height$

$\tt \:  ⟼ 40 \times 12 = 16 \times height$

$\tt\implies \:height \: = 30 \: cm$