8th Class Mathematics Sample Paper Mathematics Sample Paper - 3

  • question_answer     There is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio 11:4. At the rate Rs. 100 per metre it will cost the village panchayat Rs. 75000 to fence the plot. What are the dimensions of the plot?


    Let the length and breadth of the plot be 11 x and 4x, respectively. \[\therefore \]\[Perimeter\text{ }of\text{ }the\text{ }plot\text{ }=\text{ }\frac{Total\text{ }cost}{Cost\text{ }of\text{ }1\text{ }meter}\]           \[=\frac{75000}{100}=750m\]                                                              We know that perimeter of rectangle = 2 (l + b) \[\therefore \] According to question,             \[2\left( 11x+4x \right)=750\] or,        \[15x=\frac{750}{2}\] or,         \[15x=375\]                                                                                                                                                         or,          \[x=\frac{375}{15}\] or,          x = 25 Hence, length of plot \[=11\times 25=275\text{ }m\] and breadth of the plot \[4\times 25=100\text{ }m.\]


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