Answer :

The area of the rectangle is 1800 square centimeters, given a perimeter of 120 centimeters and length 8 centimeters more than the width.

Let's assume the width of the rectangle is "w" centimeters. Since the length is 8 centimeters more than the width, the length would be "w + 8" centimeters.

The perimeter of a rectangle is given by the formula: 2(length + width). In this case, the perimeter is 120 centimeters. So we have the equation: 2(w + 8 + w) = 120.

Simplifying the equation, we get: 2w + 16 + 2w = 120.

Combining like terms: 4w + 16 = 120.

Subtracting 16 from both sides: 4w = 104.

Dividing both sides by 4: w = 26.

Now that we know the width, we can calculate the length: w + 8 = 26 + 8 = 34 centimeters.

Finally, to find the area of the rectangle, we multiply the length by the width: Area = length * width = 34 * 26 = 884 square centimeters.

Therefore, the area of the rectangle is 884 square centimeters, given a perimeter of 120 centimeters and a length 8 centimeters more than the width.

Learn more about Perimeter here; brainly.com/question/7486523

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