Question

The area and perimeter of a square are numerically equal. Find the length of its diagonal​

Answer 1

Step-by-step explanation:

given

area=perimeter

s×s=4×s

we get

s=4

length of diagonal=√(4²+4²)

√(16+16)

=√32=4√2

hope this will help you

Answer 2

Answer: 4√2

Step-by-step explanation:

If side side is 4 then,

Area=perimeter

By Pythagoras theorem,

4²+4²=hypo²

16+16

32=hypo²

Therefore, hypotenuse=√32

which is equal to 4√2

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