Q3 of 99 Page 264

The length and breadth of rectangular field of Birati Mahajati Sangha are in the ratio 4 : 3. The path of 336 meter is covered by walking once round the field. Let us write by calculating the area of the field.

Perimeter = 336m

Let length of the field be L, and breadth be B.


Perimeter of a rectangle = 2(L + B) = 336


Or L + B = 168


Given


3L = 4B


Or L =


Substituting the above result in L + B = 168,



On solving, we get B = 72


And since 3L = 4B, L = 96


Area = L × B = 96 × 72 = 6912m2


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