# Laura's house has a roof with a width of 9 square root of 2 m and a height of 5 square root of 3 m.Determine the slope of roof in the simplest form if the slope is equal to thethe height divided...

Laura's house has a roof with a width of 9 square root of 2 m and a height of 5 square root of 3 m.

Determine the slope of roof in the simplest form if the slope is equal to the

the height divided by width.

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### 1 Answer

Height of the roof of Laura's house=`5*sqrt3` m

Width of the roof of her house=`9*sqrt2` m

Slope of the roof=height/width

=`(5*sqrt3)/(9*sqrt2)`

Multiplying the numerator and the denominator by `sqrt2` :

Slope of the roof=`(5sqrt6)/18`

**Therefore, the slope of roof in the simplest form is `(5sqrt6)/18` .**