A fence encloses a rectangular field. The field is 4 meters longer than it is wide. The total length of the fence is 144 meters. What is the area in square meters of the enclosed field?

1192
1296
1292<----
1440

38*34 = 1292

you are correct

correct

To find the area of the enclosed field, we first need to determine the dimensions (length and width) of the field.

Let's assume the width of the field is "x" meters. Since the length is 4 meters longer than the width, the length would be "x + 4" meters.

Now, we can calculate the total length of the fence. The fence consists of two lengths and two widths of the field. Each length is "x + 4" meters, and each width is "x" meters. So, the total length of the fence is:

2(x + 4) + 2x = 144

Simplifying the equation, we have:

2x + 8 + 2x = 144
4x + 8 = 144
4x = 136
x = 34

The width of the field is 34 meters, and the length is 34 + 4 = 38 meters.

To find the area of the enclosed field, we multiply the width by the length:

Area = width × length
Area = 34 × 38
Area = 1292 square meters

Therefore, the correct answer is 1292 square meters.