The width w of a rectangular swimming pool is 7x2. the area a of the pool is 7x3 – 42x2. what is an expression for the length of the pool? show your work.

Length (L) = x - 6 .

Step-by-step explanation:

Given : The width w of a rectangular swimming pool is 7x². The area A of the pool is 7x³ – 42x².

To find : What is an expression for the length of the pool? Show your work.

Solution : We have given

Width = 7x².

Area of rectangle = 7x³ – 42x².

Let the length = L

Area of rectangle = length  * width .

Plugging the values.

7x³ – 42x²= L * 7x².

On dividing both sides by 7x².

.

.

x - 6 = Length.

Therefore, Length (L) = x - 6 .

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".