Question

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

Answer 1

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

Answer 2

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.