Question

A rectangular park has an area of 2/3 square mile. The length of the park is 2 2/3 the width of the park. What is the width of the park?

Answer 1

To find the width of the park, we can use the formula for the area of a rectangle and set up an equation. Solving the equation, we find that the width of the park is 1/2 mile.

Step-by-step explanation:

To find the width of the park, we can start by using the information given in the question. The length of the park is 2 2/3 times the width. Let's represent the width of the park as x. Then, the length of the park would be (2 2/3)x.

Next, we can use the formula for the area of a rectangle, which is length times width. We know that the area of the park is 2/3 square mile. So, we can set up the equation: (2 2/3)x * x = 2/3.

To solve for x, we can simplify the equation: (8/3)x² = 2/3. Multiplying both sides by 3/8 gives us x² = 1/4. Taking the square root of both sides, we get x = 1/2.

Therefore, the width of the park is 1/2 mile.

Answer 2

Area of the rectangular park = 2/3 square mile
Let us assume the width of the rectangular park = x
Then
The length of the rectangular park = 2 2/3 * x mile
= 8x/3 mile
Then
Area of the rectangular park = Length * Width
2/3 = (8x/3) * x
2/3 = 8x^2/3
(2 * 3)/3 = 8x^2
2 = 8x^2
x^2 = 2/8
x^2 = 1/4
x^2 = (1/2)^2
x = 1/2
So the width of the park is 1/2 feet.