Question

the area of sq is 16 CM sq find the area of square joining the midpoint points of its sides

Answer 1

Here is your answer buddy,

Let, ABCD is the square in which P, Q, R, S are the midpoint of AB, BC, CD and DA.

Now,

It is given that area of the square = 16 sq cm.

Now, it is divided from mid point. So 4 small square of 2 cm will be made.

Therefore,
Area of small square = 4 sq cm.

Now,
Area = 16 sq cm.
Side =√16 = 4.

So, if the square is cut through mid points, so side of square will be
= $\frac{4}{2}$

= 2 cm each.

So the area of the small square = $2^{2}$
= 4 sq cm.

Hope this helps you.
Be Brainly.

Answer 2

Given
-----------
=> Area of the large square is 16 cm²

=> Side of the square = √16 = 4 cm

Since
----------
=> Given diagram is square

So. each side is equal to 4 cm

=> If each side is divided by their midpoints

then 4 small equal squares are formed

=> Side of 4 small squares = 4÷2 = 2 cm

=>. Area of each small square = 2² = 4 cm²

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Alternative process
------------------------------
=> We know that each side is divided by mid points and also 4 equal squares are formed from the larger one.

now..

=> Let area of 1 small square be x cm²

=> Area of all 4 small squares = Area of the large square = 16 cm²

so..

=> x +x+x+x =16

=> 4x = 16

=> x = 16÷4 = 4 cm²

Hence the area of each small squares is 4 cm²
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