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the side of a square is three raised to the five halves power inches. using the area formula a = s2, determine the area of the square.


a = 9 square inches

a = 15 square inches

a = 225 square inches

a = 243 square inches

Verified Answer :

nobillionaireNobley

\(s=3^{ \frac{5}{2} } \\ Area=s^2=(3^{ \frac{5}{2} })^2=3^5 =243 \ square \ inches\)

Answer:

a=243 square inches.

Option D is correct.

Step-by-step explanation:

Let 's' denote the side of a square.

We are given the side of a square is three raised to the five halves power inches i.e.

\(s=3^{\dfrac{5}{2}}\)

Now Let the area of square be denoted by 'a'.

Then as we know that the area of square is given by:

\(a=s^2\)

Hence,

\(a=(3^{\dfrac{5}{2}})^2=3^5\\\\a= 243\)

Hence, the area of square is 243 square inches.

Hence, option D is correct.

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