A building measuring 90 m by 60 m is to be built. A paved area of uniform width will surround the building. The paved area is to have an area of 9000 square meters. How wide is the paved area?

To find the width of the paved area, we can subtract the area of the building from the total area. The area of the building is 90m * 60m = 5400m². Subtracting this from the total area of 9000m² gives us the area of the paved area, which is 9000m² - 5400m² = 3600m². Since the area of a square is equal to the side length squared, we can find the side length of the square by taking the square root of the area. Therefore, the width of the paved area is √3600m² = 60m.

Answered by Darla1012 | 2024-06-18

The paved area surrounding the building is approximately 23 meters wide. We calculated this by determining the difference between the total area (9000 m² plus the building area) and solving a quadratic equation developed from the dimensions. The width allows for a uniform paved area around the building.
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Answered by Darla1012 | 2024-09-30