2024 UPDATED!!! The diagonal of a square is x units. what is the area of the square in terms of x? 1/2x2 square units x2 square units 2x square units 1/2x square units

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The diagonal of a square is x units. what is the area of the square in terms of x? 1/2×2 square units x2 square units 2x square units 1/2x square units

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$frac {1} {2} x ^ 2$ square units

Step by step explanation:

The simple formula we need here is:

d = s sqrt {2}

Where

d is the length of a diagonal

s is the length of the side of the square

We find the side-length of the square from the information given:

$d = s sqrt {2} \ x = s sqrt {2} \ s = frac {x} { sqrt {2}}$

Now,

we know that distance is a square s ^ 2

We know s, and now we find an area

Achar = $s ^ 2 \ ( frac {x} { sqrt {2}}) ^ 2 \ frac {x ^ 2} {2} \ frac {1} {2} x ^ 2$

The first choice is correct answers, 1 / 2x ^ 2 square units.

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