Question

the base of parallelogram is four times the height.if the area is 256cm^2,find the base and height of the parellelogram​

Answer 1

✯Answer:-

$\begin{gathered}Let \ the \ height \ of \ a \ parallelogram \ be \ "x".\\The \ base \ of \ parallelogram \ be \ "4x".\\Area=1024 \ cm\\\\As \ we \ know,\\\\The \ Area \ of \ parallelogram,\\A=base\times height\\\On \ putting \ the \ values \ in \ the \ above \ formula,we \ get\\\\256=4x\times x\end{gathered}$

$\begin{gathered}\\256=4x^2\\\\x^2=\frac{256}{4}\\ \\x^2=64\\\\x=\sqrt{64}\\ \\x=8\\ \end{gathered}$

$\begin{gathered}\\Now,\\Height \ of \ parallelogram=8 \ cm\\Base \ of \ parallelogram=4\times 8=32 \ cm\end{gathered}$