The length of a rectangular park is six timessix times its width. The park is surrounded by a 77-foot-wide pa

Question

The length of a rectangular park is six timessix times its width. The park is surrounded by a 77​-foot-wide path. Let x denote the width of the park. Write a quadratic function to represent the total area of the park and the path.

GPT-5 mini · Answer

Width = x, length = 6x. A 7-foot-wide path around adds 7 ft on each side, so outer width = x + 14 and outer length = 6x + 14.

Total area A(x) = (x + 14)(6x + 14) = 6x^2 + 98x + 196 (square feet).

The length of a rectangular park is six timessix times its width. The park is surrounded by a 77-foot-wide path. Let x denote the width of the park. Write a quadratic function to represent the total area of the park and the path.

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The length of a rectangular park is six timessix times its width. The park is surrounded by a 77​-foot-wide path. Let x denote the width of the park. Write a quadratic function to represent the total area of the park and the path.

All Answers 1

Submit Your Answer

The length of a rectangular park is six timessix times its width. The park is surrounded by a 77-foot-wide path. Let x denote the width of the park. Write a quadratic function to represent the total area of the park and the path.