Final answer:
To find the dimensions of the rectangular playground, we can use the formula for the perimeter of a rectangle.
Step-by-step explanation:
The dimensions of the rectangular playground can be found by using the formula for the perimeter of a rectangle, which is 2 times the length plus 2 times the width. Let's represent the length as 'l' and the width as 'w'. We have the equation 2l + 2w = 320. We can then solve for 'w' in terms of 'l' by subtracting 2l from both sides of the equation, giving us 2w = 320 - 2l. Dividing both sides by 2, we get w = 160 - l.
Since 'l' and 'w' represent the length and width of the rectangle, they must both be positive numbers. The options given for the dimensions of the playground are:
- a) 80 feet by 80 feet
- b) 90 feet by 70 feet
- c) 100 feet by 60 feet
- d) 110 feet by 50 feet
Now we can substitute these values into the equation w = 160 - l and see which option satisfies the equation.