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

Answer 2

a=243 square inches.

Option D is correct.

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

Hence, the area of square is 243 square inches.

Hence, option D is correct.