Question

How do you find the perimeter of a rectangle, in simplest radical form, in which the base is `sqrt98` and the height is `5sqrt2`?

Answer 1

34

Explanation:

`sqrt98 = 9.9`
`5*sqrt2 = 7.1`
Since two sides of the rectangle are 9.9 in length,
`2*9.9 = 19.8`
Since the other two sides of the rectangle are 7.1 in length,
`2*7.1 = 14.2`
Therefore, the total length of the perimeter of the rectangle is,
`19.8 + 14.2 = 34.0`

Answer 2

The given rectangle has

`base=sqrt98=sqrt(7^2*2)=7sqrt2`

and

`height=5sqrt2`

So

`Perimeter=2(base +height)=2(7sqrt2 +5sqrt2)=2*12sqrt2=24sqrt2`