Your clients have ordered 48 yards of fencing for their rectangular garden bed. They want
the garden to have a length that is twice as
long as the width - and they want to use all
48 yards of fencing.
What is the length and width of the
rectangular garden?
What is the area of the garden?

Step-by-step explanation:

Clients have ordered 48 yards of fencing  for their rectangular garden bed.

Let the width is x and then length is 2x.

Amount of fencing required is equal to the perimeter of the rectangular garden i.e.

2(x+2x)=48

2(3x)=48

6x=48

x=8 yards

Width of the garden is 8 yards

Length of the garden is 2x = 2(8) = 16 yards

Area of a rectangle is given by :

A = L×B

A = 8 × 16

A = 128 sq yards

Hence, this is the required solution.

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".

because that’s us why