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)?
Answers
Answer :- I hope it will help you
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
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