CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Question 4 (v)
Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method:
The area of a rectangle gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and the breadth by 2 units, the area increases by 67 square units. Find the dimensions of the rectangle.


Solution

Let length and breadth of rectangle be x unit and y unit respectively.
Area = xy
According to the question,
(x - 5) (y + 3) = xy - 9

3x - 5y - 6 = 0 ... (i)
(x + 3) (y + 2) = xy + 67

2x - 3y - 61 = 0 ... (ii)
By cross multiplication, we get
x305(18)=y12(183)=19(10)
x323=y171=119
x = 17, y = 9
Hence, the length of the rectangle = 17 units and breadth of the rectangle = 9 units

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More



footer-image