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
my answer is B?
P = 2L + 2W
144 = 2(W + 4) + 2W
144 = 2W + 8 + 2W
136 = 4W
W = 34
A = 34 * 38
A = 1292
Im right?
Didn't Ms Sue just prove to you that is is C ??
c you idiot
To find the area of the enclosed field, we need to determine the dimensions of the field first.
Let's assume the width of the field is "x" meters. According to the problem, the length of the field is 4 meters longer than the width, so the length would be "x+4" meters.
The perimeter of a rectangle is calculated by adding twice the length and twice the width. In this case, the perimeter of the field would be:
2*(x + x+4) = 4x + 8
Since the total length of the fence is given as 144 meters, we can set up the equation:
4x + 8 = 144
Now, let's solve this equation for x:
4x = 144 - 8
4x = 136
x = 136/4
x = 34
So, the width of the field is 34 meters, and the length would be x+4 = 38 meters.
To find the area of the field, we multiply the width by the length:
Area = 34 * 38 = 1292 square meters.
Therefore, the correct answer is 1292.