question_answer

A rectangular park is to be designed whose breadth is 3 m less than its length. Its area is to be 4 square metres more than the area of a park that has already been made in the shape of an isosceles triangle with its base as the breadth of the rectangular park and of altitude 12 m. Find the length and breadth of the rectangular park.

Answer:

Let the length of the rectangular park be  then, breadth be

Area of rectangular park

Area of isosceles triangular park

According to the given condition,

or

(As breadth can?t be negative)

And

Hence, length and breadth of the rectangular park is  and  respectively.