Let the breadth of the rectangular park be x m.
So, its length = (x + 3)m.
Therefore, the area of the rectangular park = x(x + 3)m2 = (x2 + 3x)m2.
Now, base of the isosceles triangle = x m.
According to our requirements,
x2 + 3x = 6x + 4
x2 - 3x - 4 = 0
using the quadratic formula, we get
But x≠ -1 therefore, x =
So, the breadth of the park = m and its length will be x + 3 =+3=m.
verification: