Q. 403.8( 12 Votes )

The area of a rectangle gets reduced by 67 square metres, when its length is increased by 3 m and breadth is decreased by 4 m. If the length is reduced by 1 m and breadth is increased by 4 m, the area is increased by 89 square metres. Find the dimensions of the rectangle.

Answer :

Let the length and breadth of rectangle be l and b meters respectively.


area of rectangle = l×b


According to question -


(l + 3)(b - 4) = (l×b) - 67


lb - 4l + 3b - 12 = lb - 67


4l - 3b = 55.....(1)


and,


(l - 1)(b + 4) = (l×b) + 89


lb + 4l - b - 4 = lb + 89


4l - b = 93.....(2)


Subtracting Equation (1) From equation (2), we get -


b = 19


Substituting the value of b in equation (2), we get -


l = 28


Thus, Length = 28 meters and Breadth = 19 meters.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Dealing With the Real Life ProblemsDealing With the Real Life ProblemsDealing With the Real Life Problems53 mins
Quiz | Real Life Problems Through Linear EquationsQuiz | Real Life Problems Through Linear EquationsQuiz | Real Life Problems Through Linear Equations56 mins
Quiz | Solution of Linear EquationsQuiz | Solution of Linear EquationsQuiz | Solution of Linear Equations53 mins
Champ Quiz | Consistency and Inconsistency of SolutionsChamp Quiz | Consistency and Inconsistency of SolutionsChamp Quiz | Consistency and Inconsistency of Solutions36 mins
Pair of Linear Equations in Two VariablesPair of Linear Equations in Two VariablesPair of Linear Equations in Two Variables46 mins
Dealing with the Real Life ProblemsDealing with the Real Life ProblemsDealing with the Real Life Problems54 mins
Elimination (quicker than quickest)Elimination (quicker than quickest)Elimination (quicker than quickest)44 mins
Consistent and Inconsistent EquationsConsistent and Inconsistent EquationsConsistent and Inconsistent Equations33 mins
Real Life Problems Through Linear EquationsReal Life Problems Through Linear EquationsReal Life Problems Through Linear Equations41 mins
All Kinds of Word Problems in Linear EquationsAll Kinds of Word Problems in Linear EquationsAll Kinds of Word Problems in Linear Equations42 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
caricature
view all courses