Perimeter of traffic sign is 140 inches. The length is 14 inches longer than the width. Find the dimensions of the sign.
What is the shape of this sign?
To find the dimensions of the traffic sign, we can set up an equation based on the given information.
Let's assume the width of the sign is x inches.
According to the given information, the length is 14 inches longer than the width. So, the length would be x + 14 inches.
Now, the perimeter of a rectangle is given by the formula P = 2l + 2w, where P represents the perimeter, l represents the length, and w represents the width.
So, in this case, the perimeter is given as 140 inches. Plugging in the values, we have:
140 = 2(x + 14) + 2x
Now, we can simplify and solve for x:
140 = 2x + 28 + 2x
140 = 4x + 28
112 = 4x
x = 28
Therefore, the width of the sign is 28 inches, and the length is x + 14, which is 28 + 14 = 42 inches.
So, the dimensions of the traffic sign are:
Width = 28 inches
Length = 42 inches