Question

What is the length of the diagonal of a square whose area is 16900 m2?​

Answer 1

Answer:

area of square = L ^ 2

16900 = l ^ 2

√16900 = l

l = 130

one side of square is 130 m

using as a triangle

height = 130

base = 130

using Pythagoras theorem

hypo ^2 = height ^2 + base ^ 2

= 130 ^2 + 130 ^2

= 33800

hypo = √33800

hypo. = 183.84m

hence diagonal is 183.84 m

Answer 2

Answer :

Given area of square = 16900 m².

We know,

Area of square = a² = 16900

area = √16900 = 130 m

∴ Diagonal of square = a√2

Hence, length of diagonal of square = 130√2 m

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