The dimension of a rectangular garden are represented by (x+7) and (x-7)

A. What is the area of the garden?

B. It is possible that x=7?how about x=-7?explaine why or why not.

C. What could be the value of x?

Please answer steve

what, still no thoughts of your own?

A. (x+7)(x-7) = x^2-49
B. What are the dimensions if x=7?
C. both dimensions must be positive, so x > 7

A. To find the area of the garden, we multiply the dimensions together. So the area is:

Area = (x+7)(x-7)

B. To check if x=7 is possible, we substitute it into the equation for the dimensions:

(x+7)(x-7) = (7+7)(7-7) = 14 * 0 = 0

Since the area is 0, this means the garden has no dimensions and is not possible.

Similarly, we check if x=-7 is possible:

(x+7)(x-7) = (-7+7)(-7-7) = 0 * (-14) = 0

Again, the area is 0, so the garden has no dimensions and is not possible.

Therefore, x=7 and x=-7 are not possible values for the dimensions.

C. To find the possible value of x, we need to consider the factors of the area equation. In this case, we have:

(x+7)(x-7) = 0

This equation will be true when either (x+7) or (x-7) equals zero. So the possible values for x are:

x+7=0 or x-7=0

Solving these equations gives us:

x=-7 or x=7

However, since we already determined that x=7 and x=-7 are not possible values for the dimensions, there are no valid values for x that satisfy the given conditions.

A. To find the area of the garden, we need to multiply the length and width. In this case, the length is (x+7) and the width is (x-7). So, the area of the garden is given by the expression (x+7) * (x-7).

B. To determine if it is possible that x = 7 or x = -7, we need to check if those values would result in valid dimensions for a rectangular garden. For a valid rectangular garden, both the length and the width should be positive.

1. If x = 7:
Plugging in x = 7 into the expressions, we get:
Length = (7+7) = 14
Width = (7-7) = 0

Since the width is 0, it means there would be no width and hence no garden. So, it is not possible for x to be 7.

2. If x = -7:
Plugging in x = -7 into the expressions, we get:
Length = (-7+7) = 0
Width = (-7-7) = -14

Similarly, since the length and width are negative or zero, it means there would be no valid dimensions for a garden. Thus, it is not possible for x to be -7 either.

C. To determine possible values of x, we need to consider the conditions for a valid rectangular garden. Both the length and width should be positive.

- From the expression (x+7) * (x-7), we can see that for the length to be positive, x > -7.
- Also, for the width to be positive, x < 7.

Based on these conditions, the possible values for x would be within the range -7 < x < 7.

The dimensions of a rectangular garden represented by (x+7) and(x-7).