# 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.

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 Problems53 mins  Quiz | Real Life Problems Through Linear Equations56 mins  Quiz | Solution of Linear Equations53 mins  Champ Quiz | Consistency and Inconsistency of Solutions36 mins  Pair of Linear Equations in Two Variables46 mins  Dealing with the Real Life Problems54 mins  Elimination (quicker than quickest)44 mins  Consistent and Inconsistent Equations33 mins  Real Life Problems Through Linear Equations41 mins  All 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 view all courses RELATED QUESTIONS :