Question

(1)
3. Is it possible to design a rectangular mango grove whose length is twice its breadth,
and the area is 800 m²? If so, find its length and breadth​

Answer 1

GIVEN :-

• Area of the rectangular mango grove = 800 m²
• Length is twice its breadth

TO FIND :-

• Length of the rectangular mango grove
• Breadth of the rectangular mango grove

SOLUTION :-

                 $\setlength{\unitlength}{1 mm}\begin{picture}(0,0)\put(32,-2){ \tt{Breadth = x } }\put(0,-16) { \tt{Length = 2x} }\put(-11.5,8.2){\line(0,-6){17}}\put(30.5,8.2){\line(-4,0){42}}\put(30.5,-8.8){\line(-4,0){42}}\put(30.3,8.1){\line(0,-4){17}}\end{picture}$                  

   Let ,

   Length = 2x

   Breadth = x

   Area = Length × Breadth

     

       $\hookrightarrow \sf x \times 2x = 800\\\\\hookrightarrow 2x^2 = 800\\\\\hookrightarrow x^2 = 400\\\\\hookrightarrow x =\pm\sqrt{400} \\\\\hookrightarrow \bf x = \pm 20$

    Length cannot be negative .

     So x = 20

• Breadth of the rectangular mango grove = 20m

• Length of the rectangular mango grove = 40m