1. Calculate the area of a square with stestate of a rectangle that is \( 1,53 \mathrm{~m} \) long and 82 cm wide.

To calculate the area of a square, we need to know the length of one side of the square. Since the square has the same length and width, we can use the length of the rectangle to find the length of one side of the square. Given: Length of the rectangle = 1.53 m Width of the rectangle = 82 cm First, we need to convert the width of the rectangle to meters to have consistent units: Width of the rectangle = 82 cm = 0.82 m Since the square has the same length and width, the length of one side of the square is equal to the length of the rectangle: Length of one side of the square = 1.53 m Now, we can calculate the area of the square using the formula for the area of a square: Area of a square = side length x side length Substitute the length of one side of the square into the formula: Area of a square = 1.53 m x 1.53 m Let's calculate the area of the square. Calculate the value by following steps: - step0: Calculate: \(1.53\times 1.53\) - step1: Multiply the numbers: \(2.3409\) The area of the square is approximately 2.34 square meters.