Question

The area of a rectangular plot is 240m and its breadth is 10.5 m . Find the length and area of the plot ​

Answer 1

Answer:

There is a Slight Correction in your Question

Corrected Question

The perimeter of a rectangular plot is 240m and its breadth is 10.5 m . Find the length and area of the plot ​

Solution

Perimeter of the rectangular plot = 240m.

Breadth of the rectangular Plot (b) = 10.5m

Length of the rectangular Plot (l) = ?

Perimeter of Rectangular field = 2 ( l + b )

$\implies 240 = 2 ( l + b )$

$\implies 240 = 2(10.5+l)$

$\implies 240 =31 + 2l$

$\implies 2l = 240 - 31$

$\implies 2l = 209$

∴ Length (l) = 209/2 = 104.5 m

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large 104.5m}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large 10.5m}\put(-0.5,-0.4){\bf A}\put(-0.5,3.2){\bf D}\put(5.3,-0.4){\bf B}\put(5.3,3.2){\bf C}\end{picture}$

Area of Rectangular Plot = l×b

                                          = 104.5×10.5 = 1097.5m²