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%

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

he sells x mount because thats eqivilqant to the maz and then divided into quarters

step-by-step explanation: