If we increase the length by 2 units and the breadth by 2 units, then

1.	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
Answer» 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 Correct option is A) 50

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

Answer»

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

Correct option is A) 50