Question

If the length of the
longest straight line
that can be drawn in
a square is 8 cm,
what is the area
the
covered by
square (in cm)?​

Answer 1

Answer :- I hope it will help you

Answer 2

The area covered by the square = 32 cm²

Formula :

• For square of side a unit the length of diagonal of the square = a√2 unit

• For square of side a unit the area of the square is a² sq.unit

Solution :

Step 1 of 3 :

Find length of the diagonal of the square

Here it is given that the length of the longest straight line that can be drawn in a square is 8 cm

We know that the length of the longest straight line that can be drawn in a square is diagonal of the square

The length of the diagonal of the square = 8 cm

Step 2 of 2 :

Find length of each side

Let length of each side = a cm

By the given condition

a√2 = 8

⇒ a = 8/√2

⇒ a = 4√2

The length of each side = 4√2 cm

Step 3 of 3 :

Find area covered by the square

The area covered by the square

= a² cm²

= (4√2)² cm²

= 32 cm²

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ How many tiles of side 50 cm will be required to flour the the square hall fo side 8 m?

https://brainly.in/question/35572136

2. A rectangle is made from a 20 cm long thin wire .If the breadth of the rectangle is 3 cm , then what is the length of th...

https://brainly.in/question/34792847