the perimeter of some traffic sign must be 128 inches the length is 14 inches longer than its width
Is this sign a rectangle?
P = 2L + 2W
(it depends on the measurements)
It seems like it
To find the width and length of the traffic sign, we can set up an equation using the given information. Let's let "x" represent the width of the sign.
According to the information given, the length is 14 inches longer than the width. So, the length would be x + 14.
The perimeter of a rectangle is twice the sum of its length and width. In our case, the perimeter is given as 128 inches. Therefore, the equation becomes:
2(width + length) = perimeter
2(x + (x + 14)) = 128
Simplifying the equation:
2(2x + 14) = 128
4x + 28 = 128
Next, subtract 28 from both sides of the equation:
4x = 100
Divide both sides by 4:
x = 25
So, the width of the traffic sign is 25 inches.
To find the length, we substitute the value of x into the equation for the length:
Length = x + 14
= 25 + 14
= 39
Therefore, the length of the traffic sign is 39 inches.