find the area of a square ABCD 16 square meter.find the area of the area joining mid points of the side

If ABCD has an area of 16 m², then no calculations are required.

The quadrilateral joining the mid-points of a square, a rectangle, or a parallelogram has an area equal to half that of the original figure.

To find the area of a square, we simply need to square the length of one of its sides.

Given that the area of square ABCD is 16 square meters, we can calculate the length of one side as follows:

Side length = √(Area of square)
Side length = √16 = 4 meters

Now, let's find the area of the region formed by joining the midpoints of the sides. This region is a smaller square since the lines connecting the midpoints divide the original square into four congruent smaller squares.

To find the area of the smaller square, we can use the formula:

Area of a square = (Side length)²

Since the side length of the smaller square is half the length of the original square, we can calculate it as:

Side length of smaller square = (Side length of original square) / 2 = 4 / 2 = 2 meters

Now, let's calculate the area of the smaller square:

Area of smaller square = (Side length of smaller square)² = 2² = 4 square meters

Therefore, the area of the region formed by joining the midpoints of the sides of the original square is 4 square meters.