The ratio of the width to the length of a rectangle is 2: 3, respectively. answer each of the following. by what percent would the area of the rectangle change if the width of the rectangle is increased by 50% and the length is increased by the same number of units?

200%

Step-by-step explanation:

Length and breadth is in the ratio 2:3

Then, let length = 2x and breadth = 3x

Area of rectangle = l×b = 2x×3x = 6

Now if breadth is increased by 50% ,

our new breadth will be = 3x + 50%(3x)

                                        = 4.5x

And length is increased by same number of units, length = 2x+ 2x = 4x

New area = l×b = 4.5x × 4x

                         = 18

Percentage change in area = ×1000

                                            = ×100

                                            = 200%

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