Question

If the diagonal of a square is 16 inches long what is the area of the square

Answer 1

Answer:

Step-by-step explanation:

Since the sides of a square are equal let all side be x inches

Also all angles are 90 degree so we can apply Pythagoras theorem

So

x² +x²= 16²

2x²= 256

x²= 128

x=√128

x= 8√2 inches = side of square

Now are of square = side X side

= 8√2²= 128 inches

Answer 2

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Given :

 

• Diagonal of square = 16 inches.

We know that,

Side of Square = Diagonal/√2 .

So side = 16/√2 = 8√2 inches.

Area of square = (side)²

                          = (8√2)²

                          = 128 sq. inches.

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