To find the length of the base of the parallelogram, we'll follow these steps:
1. First, calculate the area of the square.
The area of a square (A) is given by the formula A = side_length^2.
For the square with a side length of 48 meters:
A_square = 48m 48m = 2304 square meters.
2. Since the square and the parallelogram have the same area, the area of the parallelogram is also 2304 square meters.
3. The area of a parallelogram (A) is given by the formula A = base_length height. We know the height of the parallelogram and the area, and we are looking to find the base length.
Using the formula:
2304 square meters = base_length * 18 meters.
4. To find the base length, we divide both sides of the equation by the height of the parallelogram:
base_length = 2304 square meters / 18 meters.
5. Calculate the base length:
base_length = 128 meters.
So, the length of the base of the parallelogram is 128 meters.
