High School

The perimeter of a rectangle is 120 cm, and the length is 8 cm greater than the width. What is the length?

Answer :

The width of the rectangle is 26 cm. Since the length is 8 cm greater than the width, the length would be: Length = W + 8 = 26 + 8 = 34 cm.

Let's assume the width of the rectangle is represented by "W" (in cm). According to the given information, the length is 8 cm greater than the width, so we can represent the length as "W + 8" (in cm). The perimeter of a rectangle is calculated by adding the lengths of all four sides. For a rectangle, the formula for perimeter is: Perimeter = 2 * (Length + Width)

Given that the perimeter is 120 cm, we can substitute the values into the formula: 120 = 2 * (W + 8 + W), Now we can simplify the equation: 120 = 2 * (2W + 8). Divide both sides of the equation by 2: 60 = 2W + 8, Subtract 8 from both sides: 52 = 2W. Divide both sides by 2: 26 = W. Therefore, the width of the rectangle is 26 cm. Since the length is 8 cm greater than the width, the length would be: Length = W + 8 = 26 + 8 = 34 cm. So, the length of the rectangle is 34 cm.

To learn more about perimeter, click here: brainly.com/question/68308

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