A rectangular poster has an area of 38 square feet. It is 9 1/2 feet wide at its base. What is the height of the poster?

 6ft.

Step-by-step explanation:

A=L*W

A/W=L

22sq ft/(11/3)ft=L

6ft=L ANSWER The length (height) of the poster is 6 feet.

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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