Question

Liu is making a rabbit pen. The graph shows where he plans to place it in his backyard. Each unit on the graph represents 1 foot.
1. What is the distance between points R and U? Explain how you found this distance.

2. Find the other three side lengths.

The length of the side between U and T is _______ feet.

The length of the side between T and S is _______ feet.

The length of the side between S and R is _______ feet.

3. The perimeter is the sum of the side lengths. What is the perimeter of the pen?

4. Does Liu have enough fence to make the pen? Why or why not?

Answer 1

Answer:

1. The distance between the points R and U is 4 feet

2. The length of the side between U and T is 3 feet

The length of the side between T and S is 4 feet

The length of the side between S and R is 3 feet

3.The perimeter of the pen is 14 feet

4. Yes

Liu has enough fence to make the Pen because he has more fence than the perimeter of the pen

Step-by-step explanation:

The 'x', and 'y' (x, y) coordinates of the points are;

R(5, 7), U(5, 3), S(8, 7), T(8, 3)

1. From the graph, the distance between the points R and U is given by the change in the values of the y-coordinate, given in feet, since the x-coordinate values are the same

Therefore, the distance between the points R and U = 7 ft. - 3 ft. = 4 ft.

2. Similarly, the length of the side between U and T is given by the change in the values of the x-coordinate, given in feet, since the y-coordinate values of U ant T are the same, as follows;

The length of the side between U and T = 8 ft. - 5 ft. = 3 ft.

Similarly the length of the side between T and S which have the same x-coordinate values is given as follows

The length of the side between T and S = 7 ft. - 3 ft. = 4 ft.

The length of the side between S and R which have the same y-coordinate values is given as follows;

The length of the side between S and R = 8ft. - 5ft. = 3ft.

3. The perimeter of the pen = Length R and U + Length U and T + Length T and S + Length S and R

∴ The perimeter of the pen = 4 ft. + 3 ft. + 4 ft. + 3 ft. = 14 ft.

4. The length of fencing Liu has = 16 feet (from internet source)

Therefore, the length of fence Liu has, 16 ft.is more than the length that make up the perimeter of the pen, 14 ft.

Therefore Liu has enough fence to make the Pen because the length of fence he has is more than the perimeter of the pen.