Question

A rectangular field is enclosed by 600 feet of fencing. What is the length, in feet, of the field if its length is 10 feet more than its width?

Answer 1

To find the length of the rectangular field, set up an equation using the given information and solve for the width. Then, add 10 to the width to find the length of the field.

Step-by-step explanation:

To find the length of the rectangular field, we can set up an equation using the given information. Let's let x represent the width of the field. Since the length is 10 feet more than the width, we can represent the length as x+10. The perimeter of a rectangle is given by the formula P = 2L + 2W, where P is the perimeter, L is the length, and W is the width. In this case, we know that the perimeter is 600 feet, so we can set up the equation: 600 = 2(x+10) + 2x. Solving this equation will give us the value of x, which represents the width. Once we have the width, we can find the length by adding 10 to the width.

Let's solve the equation:

1. 600 = 2(x+10) + 2x
2. 600 = 2x + 20 + 2x
3. 600 = 4x + 20
4. 580 = 4x
5. x = 145

The width of the field is 145 feet. To find the length, we add 10 to the width: 145 + 10 = 155 feet. Therefore, the length of the field is 155 feet.