## Compassionate one year ago An aceptabe slope for a stairway is 8 inches of rise for eac 12 inches of tread or run. A builder wants to build a house with a distance of 9 feet 6 inches between the first floor and second floor. How many linear feet of room will the stairway occupy on the first loor?

1. Compassionate

@Miracrown

2. anonymous

It was a little hard to visualize. I think this is what they mean |dw:1440215908295:dw|

3. anonymous

|dw:1440216070262:dw|

4. Compassionate

I suppose they want a scale factor or something along those lines

5. anonymous

I think the height's 9.5 and they want the length. and the triangles are similar so we can set up an equation

6. Miracrown

Hi

7. anonymous

corresponding sides are proportional so $\frac{ 12 }{ x }=\frac{ 8 }{ 9.5 }$

8. Compassionate

So then we cross multiply and solve, right

9. Compassionate

144 = 8x, x = 18

10. anonymous

12*9.5 = 114

11. Compassionate

right. Autism speaks. Don't know how I did that. Thanks a lot man!

12. anonymous

np

13. tHe_FiZiCx99

Noice 1, Comp GeeGee