How Much will Increase in the Rectangle? If
Answer: (4) 50 %
Let the length of the rectangle is X m & the breadth of the rectangle is Y m.
The area of a rectangle = Length x breadth.
Then, the area of the rectangle = X x Y
= X Y m square.
The Length and Breadth of a rectangle are increased by 20% and 25%.
Then, the length of the rectangle = (X + X x 20/100)
= ( X + X /5)
= (5 X + X) / 5
= 6 X / 5
And the breadth of the rectangle = (Y + Y x 25/100)
= (Y + Y/4)
= (4 Y + Y )/4
= 5 Y /4
Then, the new area of the rectangle = 6 X x 5 Y / 5 x 4
= 3 X Y / 2
Increased area of rectangle = 3 X Y / 2 – X Y
= (3 X Y – 2 X Y ) / 2
= X Y /2
Percentage of increased area = X Y x 100/X Y x 2
= 50 %
The increase in the area of the resulting rectangle will be 50 %.
Hence, the answer is (4) 50 %.