Answer:
Reena has a square office with an area of 126 square feet. Jazmine has a square office with an area that is 50% greater than the area of Reena’s office. To the nearest tenth, how much greater is the side length of Jazmine’s office than the side length of Reena’s office?
To find the side length of Jazmine's office, we need to first determine the area of her office. We know that her office has an area that is 50% greater than Reena's office, which means the area of Jazmine's office can be calculated as follows:
Area of Jazmine's office = (1 + 0.5) * Area of Reena's office Area of Jazmine's office = 1.5 * 126 square feet Area of Jazmine's office = 189 square feet
Since Jazmine's office is also square, we can find the side length by taking the square root of the area:
Side length of Jazmine's office = sqrt(189) feet Side length of Jazmine's office ≈ 13.7 feet
To find how much greater the side length of Jazmine's office is than the side length of Reena's office, we simply subtract the side length of Reena's office (which is also the square root of her office's area) from the side length of Jazmine's office:
Side length difference = Side length of Jazmine's office - Side length of Reena's office Side length difference = sqrt(189) feet - sqrt(126) feet Side length difference ≈ 1.8 feet
Therefore, to the nearest tenth, the side length of Jazmine's office is 1.8 feet greater than the side length of Reena's office.
Explanation: