Question

Width (ft)	Area (sq ft)
5	375.0
10	700.0
20	1200.0
30	1500.0
40	1600.0
50	1500.0
60	1200.0
70	700.0
80	0.0

A homeowner is planning to fence in a play area for his dog. He has 160 feet of fencing. He will make a rectangular play area

1. If the play area is 5 feet wide, how long would it be?375 ft

2. What is the length of the play area if it is 50 feet wide?

3. What width makes the area as large as possible? Where is that point on the graph?

40 ft . highest point on the graph

4. What is the largest area possible? What shape is that pen? Be specific.

Answer 1

1.

Given in the table, if the width is 5 ft, the area is given to be 375 sq ft. So the length would be

2.

Given in the table, if the width is 50 ft, the area is given to be 1500 sq ft. So the length would be

3.

The largest area is made with width of 40ft. It is the highest point of the graph.

4.

The largest area possible is 1600ft. The shape of the pen is symmetric in nature.

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