Question

you are designing a square playground that must fit inside a park area measuring 60 feet by 60 feet. there needs to be a 5 - foot wide safety border around the playground. what is the maximum possible area for the playground? use the keypad to enter your answer in the box. the maximum possible length of the playground is (square) feet. the maximum possible width of the playground is (square) feet. therefore, the maximum possible area of the playground is (square) square feet.

Explanation:

Step1: Calculate the side length of the playground

Since there is a 5 - foot wide safety border on both sides of the length and width of the park. The side length of the square playground \(s=60 - 2\times5\).

$$s = 60-10=50$$

Because it is a square, the length and width are equal.

Step2: Calculate the area of the square playground

The area formula of a square is \(A = s^{2}\), where \(s = 50\)

$$A=50\times50 = 2500$$

Answer:

The maximum possible length of the playground is \(50\) feet.
The maximum possible width of the playground is \(50\) feet.
Therefore, the maximum possible area of the playground is \(2500\) square feet.