Andrew is designing house with an attached garage. He knows that the width of the house will be two times the width of the garage. There will also be a 6 foot wide garden to the right of the house. The total width of the garage house and garden must be greater than 60 feet. How wide can the garage be solve this problem which graph most clearly communicates the solution

Question

Andrew is designing house with an attached garage. He knows that the width of the house will be two times the width of the garage. There will also be a 6 foot wide garden to the right of the house. The total width of the garage house and garden must be greater than 60 feet. How wide can the garage be solve this problem which graph most clearly communicates the solution

Answer 1

It seems like the problem is asking for the maximum width of the garage given the conditions stated. To solve this problem, we can set up an equation using the given information.

Let's assume the width of the garage is "x" feet.

According to the problem, the width of the house will be two times the width of the garage. Therefore, the width of the house is 2x feet.

There is also a 6-foot wide garden to the right of the house, so we need to add this to the total width.

The total width can be expressed as:
Garage width (x) + House width (2x) + Garden width (6)

So, the total width must be greater than 60 feet. We can set up the inequality as follows:

x + 2x + 6 > 60

Combining like terms:

3x + 6 > 60

Subtracting 6 from both sides:

3x > 54

Dividing both sides by 3:

x > 18

So, the width of the garage must be greater than 18 feet.

As for the graph, it would be a one-dimensional graph showing the possible widths for the garage on the x-axis and the width in feet on the y-axis. The graph would have a shaded region to the right of x = 18 to represent the possible widths that satisfy the given conditions.