Let the length be l
then breadth= l – 3
area of rectangle= l(l – 3) = l2 – 3l
area of triangle= 1/2(l - 3) (12) = 6l - 18
given
area of rectangle is 4sq mt more than triangle
so
area of rectangle – 4= area of triangle
l2 – 3l – 4 = 6l – 18
l2 – 9l + 14 = 0
l2 – 7l – 2l + 14 = 0
l(l – 7) – 2(l – 7) = 0
(l – 7)(l – 2) = 0
Yes, it is possible, to design a rectangular park.
L = 7 and 2
L = 2 is neglected as when length is 2 the breadth will be negative which is not possible...
so length= 7m
breadth = l - 3 = 7 – 3 = 4m
Yes it is possible to design a rectangular park having length & breadth 7 mts & 4 mts respectively.