If we increase the length by 2 units and the breadth by 2 units, then the area of rectangle is increased by 54 square units.
If we increase the length by 2 units and the breadth by 2 units, then the area of rectangle is increased by 54 square units. Find the perimeter of the rectangle (in units).
A) 50
B) 60
C) 58
D) 68
5 views
2 Answers
Correct option is (A) 50
Let length and breadth of original rectangle are \(l\;and\;b\) respectively.
\(\therefore\) Area of original rectangle \(=lb\) square units
According to given condition, the new area of rectangle will be
\((l+2)(b+2)=lb+54\)
\(\Rightarrow lb+2l+2b+4=lb+54\)
\(\Rightarrow2(l+b)=54-4=50\)
\(\therefore\) Perimeter of the rectangle is
\(P=2(l+b)\) = 50 units
5 views
Answered