3. A square and a parallelogram have the same area. If the side of the
square is 48m and the height of the parallelogram is 18m, find the length
of the base of the parallelogram.



Answer :

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.

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