The ratio of the width to the length of a rectangle is 2: 3, respectively. answer each of the following. a 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?

The percentage increase in Area of rectangle is 200%

Step-by-step explanation:

Given as :

The  ratio of the width to the length of a rectangle is 2:3

Let The length of rectangle = 2 x

Let The width of rectangle = 3 x

∵ Area of rectangle = length × width

So, = 2 x × 3 x

Or,    =  6 x²

Again

The increased length of rectangle = 2 x + 2 x = 4 x

The increase width of rectangle = 3 x + 50% of 3 x

I.e The increase width of rectangle = 3 x + 1.5 x = 4.5 x

∵ Increased Area of rectangle = increased length × increased width

Or,    = 4 x × 4.5 x  = 18 x²

So, The percentage increase in area = × 100

Or, The percentage increase in area = × 100

Or , The percentage increase in area = × 100

∴ The percentage increase in area  = 200

Hence, The percentage increase in Area of rectangle is 200% Answer

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2