A blackboard has an area of 28 ft2 and a perimeter of 22 ft. What are the dimensions of the board? 2 ft by 11 ft
2 ft by 14 ft
4 ft by 7 ft
7 ft by 7 ft

Step-by-step explanation:

A=LW, L=A/W

P=2(L+W), using L=A/W we get

P=2(A/W+W)

P=2(A+W^2)/W

PW=2A+2W^2

2W^2-PW+2A=0, given A=28 and P=22 we have

2W^2-22W+56=0

2(W^2-11W+28)=0

2(W-7)(W-4)=0

So the dimensions are 4ft by 7ft

C is the right answer

Step-by-step explanation:

i got it right on the quiz

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".