Rectangle abcd is dilated by a scale factor of 3 with the center dilation at (0,0). what is the area, in square units, of resulting dilated rectangle a’b’c’d’

216

Step-by-step explanation:

The area dilation ratio is the square of the length dilation ratio

The area of the original  rectangle is 6*4=24

the length dilation ratio is 1:3

the area dilation ratio would be 1:3² which is 1:9

The resulted area=24*9

=216

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".

.95

step-by-step explanation: