Answer :

For rectangular park

Let the breadth of park = b

Length of park = b + 3 (as breadth is 3 m less than length)

For triangular park

Base = breadth of park = b

Altitude = 12 m

Now Given that

Area of rectangular park = 4 m^{2} + area of triangular

b^{2} + 3b - 4 = 6b

b^{2} - 3b - 4 = 0

b^{2} - 4b + b - 4 = 0

(b - 4)(b + 1) = 0

b = 4 or b = - 1

as b = - 1 is not possible as breadth of park is not negative.

Length = b + 3 = 3 + 4 = 7 m

Breadth = b = 4 m

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