The length of a rectangle is 8 cm longer than its width , if the perimeter is 84 cm , what is its width
Width = W cm.
Length = W+8 cm.
2W + 2(W+8) = 84 cm
W = ?.
To find the width of the rectangle, we need to set up an equation using the given information.
Let's say the width of the rectangle is "W" cm. According to the problem, the length of the rectangle is 8 cm longer than its width, which means the length is "W + 8" cm.
The formula to calculate the perimeter of a rectangle is:
Perimeter = 2 * (length + width)
In this case, the perimeter is given as 84 cm, so we can write the equation as:
84 = 2 * (W + (W + 8))
Simplifying the equation:
84 = 2 * (2W + 8)
84 = 4W + 16
68 = 4W
To isolate W, we divide both sides of the equation by 4:
W = 68/4
W = 17
Therefore, the width of the rectangle is 17 cm.