The perimeter of a rectangular painting is 266 centimeters. If the length of the painting is 77 centimeters, what is its width?
P = 2L + 2W
266 = 2(77) + 2W
266 = 154 + 2W
266 - 154 = 2W
112 = 2W
? = W
To find the width of the rectangular painting, we can use the formula for the perimeter of a rectangle:
Perimeter = 2(length + width)
Given that the perimeter is 266 centimeters and the length is 77 centimeters, we can substitute these values into the formula:
266 = 2(77 + width)
First, let's simplify the equation by adding 77 and width:
266 = 154 + 2(width)
Next, subtract 154 from both sides of the equation:
266 - 154 = 2(width)
112 = 2(width)
To isolate the width, divide both sides of the equation by 2:
112 ÷ 2 = width
Simplifying the expression gives us:
56 = width
Therefore, the width of the rectangular painting is 56 centimeters.