Question

the diagonal of a square is 2.42 centimetres.Find the area of the square

Answer 1

Answer:

d = s√2

32 = s√2

32/√2 = (s√2)/√2

32/√2 = s(√2/√2)

32/√2 = s(1)

s = 32/√2

Now, rationalizing the denominator for s so as to make the value for s easier to work with, we get:

s = (32/√2)(1)

= (32/√2)(√2/√2)

= (32√2)/(√2√2)

= (32√2)/√4

= (32√2)/2

= (32/2)√2

s = 16√2

Now, substituting for s into the formula for the area A of a square, we have:

A = s²

= (16√2)²

= (16)²(√2)²

= (16)(16)(√2)(√2)

= 256(√2)(√2)

= 256(√4)

= 256(2)

A = 512 square units is the area of the square whose diagonal is 32.

Step-by-step explanation:

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