Mr. Jones needs to build a Rectangular fence in his backyard to keep their dog safe. The length of the fence should be at least 60 ft, and the distance around should be no more than 260 ft. Which system of inequalities and graph represent the possible dimensions of the pen?
Let the length of the fence be represented by x and the width of the fence be represented by y.
From the problem, we can write the following inequalities:
1. Length should be at least 60 ft: x ≥ 60
2. Distance around should be no more than 260 ft: 2x + 2y ≤ 260 (since the distance around a rectangular fence is equal to twice the length plus twice the width)
So, the system of inequalities is:
x ≥ 60
2x + 2y ≤ 260
To graph these inequalities, we can plot the points (60, 0) and (0, 130) on the coordinate plane and draw lines to connect these two points. Shade the region above the line x ≥ 60 and below the line 2x + 2y ≤ 260.
The graph represents the possible dimensions of the pen.