1.

6. The length of a rectangle exceeds its breadth by 4 cm. if the length and breadth are increased by 3 cmeach, the area of the new rectangle will be 81 sq. cm more than that of the given rectangle. Find thelength and breadth of the given rectangle.​

Answer»

Solution :-

Let the breadth be x ;

LENGTH = x + 4.

Area of RECTANGLE = L × B

-> x (x + 4)

-> x² + 4x

If length & breadth are increased by 3, then :-

Length = x + 4 + 3

Breadth = x + 3

According To The Question :-

Area of rectangle = x² + 4x + 81

-> (x + 3) × (x + 4 + 3) = x² + 4x + 81

-> (x + 3) × (x + 7) = x² + 4x + 81

-> x² + 10X + 21 = x² + 4x + 81

-> x² - x² + 10x - 4x = 81 - 21

-> 6x = 60

-> x = 10

Breadth = 10 cm ;

Length = 10 + 4 = 14 cm.

So, the length of rectangle is 14 cm ;

The breadth of rectangle is 10 cm.


Discussion

No Comment Found

Related InterviewSolutions