Question

The area of a square ABCD is 16cmsquare.find the area of the square joining the mid points of the sides

Answer 1

Answer:

Above attachment will help you ❣️

Answer 2

Answer:

8 cm²

Step-by-step explanation:

Given,

The area of a square ABCD = 16cm²

To Find,

Area of the square = ?

Solution,

The length of the side of a square = √16=4 cm

Diagonal = 4√2cm.

By mid point theorem,

The side made by joining the midpoints of the square = 1/2 of diagonal.

Therefore,

Side of small square = 4√2 /2

==> 2√2cm

The area of the small square will be,

==> 2√2 * 2√2

==> 4 * 2

==> 8 cm²

Result:

area of the square = 8 cm²