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.
