SOLUTION: An architect needs to design a triangular-shaped bathroom window that has an area no greater than 100 in (2). If the base of the window must be 16 inches long, what window heights

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: An architect needs to design a triangular-shaped bathroom window that has an area no greater than 100 in (2). If the base of the window must be 16 inches long, what window heights      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 221197: An architect needs to design a triangular-shaped bathroom window that has an area no greater than 100 in (2). If the base of the window must be 16 inches long, what window heights will meet this condition?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
An architect needs to design a triangular-shaped bathroom window that has an area no greater than 100 in (2). If the base of the window must be 16 inches long, what window heights will meet this condition?
.
Since (1/2)bh is the area of any triangle
where
b is base
h is height
.
And, since the problem gives the base
then
(1/2)16h <= 100
16h <= 200
h <= 200/16
h <= 12.5 inches
.
That is, height is less than or equal to 12.5 inches