Q. 303.5( 6 Votes )

I want to design a rectangular park 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 breadth of the rectangular park and altitude 12 m. Is it possible to have such a rectangular park? If so, find its length and breadth.

Answer :

Let the length be

then breadth= l – 3

area of rectangle= l(l – 3) = l2 – 3l

area of triangle=


area of rectangle is 4sq mt more than triangle


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= =7–3 = 4m

Yes it is possible to design a rectangular park having length & breadth 7 mts & 4 mts respectively.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Get To Know About Quadratic Formula42 mins
Quiz | Knowing the Nature of Roots44 mins
Take a Dip Into Quadratic graphs32 mins
Foundation | Practice Important Questions for Foundation54 mins
Nature of Roots of Quadratic Equations51 mins
Getting Familiar with Nature of Roots of Quadratic Equations51 mins
Quadratic Equation: Previous Year NTSE Questions32 mins
Champ Quiz | Quadratic Equation33 mins
Understand The Concept of Quadratic Equation45 mins
Balance the Chemical Equations49 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses