Question

The side of a square is Two raised to the seven halves power inches. Using the area formula A = s2, determine the area of the square.

Answer 1

Explanation:

Area of a square = s²

s is the side length of the square

Given

s = 2^{7 1/2}

s = 2^15/2

Area = ( 2^15/2)²

Area = 2^15

Hence two area of the square is 2^15 inches

Answer 2

A = 128 square inches

Explanation:

A square is a figure with equal length of sides.

Given a square of side, s,
`2^{(7)/(2) }` inches.

Area of a square, A = length of side x length of side

= s x s

=
`s^(2)`

Thus,

A =
`s^(2)`

=
`(2^{(7)/(2) } )^(2)`

=
`2^{(14)/(2) }`

=
`2^(7)`

= 128

A = 128 square inches

The are of the square is 128 square inches.