If length of a rectangle is increased to its three times and breadth is decreased to its half. then the ratio of the area of given rectangle to the area of new rectangle is:
Answer & explanation
Correct answer: option 2
We know that,
Area of rectangle = Length × Breadth
Length = x, Breadth = x
So, according to the question,
New length = 3x
New breadth = \(\frac{1}{2}\)x
Area of the rectangle = 1x × 1x = 1x2
New area of the rectangle = 3x × \(\frac{1}{2}\)x = \(\frac{3}{2}\)x2
Required ratio = 1 x2 : \(\frac{3}{2}\)x2 = 2 : 3