Question

Lashonda has 480 meters of fencing and wishes to enclose a rectangular field. Suppose that a side length (in meters) of the field is x, as shown below. What is the value of x?

A) 120
B) 160
C) 80
D) 240

Answer 1

To find the value of x, we can use the formula for the perimeter of a rectangle and set up an equation to solve for x.

Step-by-step explanation:

To solve this problem, we can use the formula for the perimeter of a rectangle, which is 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 480 meters, so we can set up the equation: 480 = 2x + 2y, where x is the length and y is the width.

Simplifying the equation, we get: 240 = x + y.

Since we're asked to find the value of x, we can substitute y as 240 - x:

240 = x + (240 - x)

240 = 2x

x = 120

Therefore, the value of x is 120 meters, so the correct answer is A) 120.