Question

Which represents a side length of a square that has an area of 450 square inches?

Answer 1

The formula of an area of a square:

`A=a^2`

a - a side

We have
`A=450\ in^2`

substitute:

`a^2=450\to a=√(450)\\\\a=√(225\cdot2)\\\\a=√(225)\cdot\sqrt2\\\\\boxed{a=15\sqrt2\ in}`

Used:

`√(a\cdot b)=√(a)\cdot√(b)`