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?

125%

Step-by-step explanation:

The ratio of the width to the length of a rectangle is 2:3, respectively , this means that :

W = L

Area of a rectangle = Length X Width , this means that

A = L X L

A =

The Length and the Width increased by 50% , this means that :

New Length = 1.5L

New Width = 1.5W

New area = 1.5L x 1.5 W

New area = 2.25WL

But W = L , therefore :

New Area = 2.25L( L )

New Area = 1.5

Therefore , % change in area = change in area / original area x 100

Change in area = 1.5 -

% change in area = 0.833/0.677 x 100

% change in area = 125%

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step-by-step explanation: