SOLUTION: a triangular flag is 4 times as long than its width. A rectangular mat is 14 feet longer than its width. Both the flag and the mat have an area of 72 square feet. A) Find the base

Algebra ->  Surface-area -> SOLUTION: a triangular flag is 4 times as long than its width. A rectangular mat is 14 feet longer than its width. Both the flag and the mat have an area of 72 square feet. A) Find the base       Log On


   

Question 1068948: a triangular flag is 4 times as long than its width. A rectangular mat is 14 feet longer than its width. Both the flag and the mat have an area of 72 square feet. A) Find the base and height of the flag. B) Find the lenght and width of the mat
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming possible right triangle shape for the flag,
"width" w
"length" 4w
%28w%284w%29%29%2F2=72

Rectangular mat,
dimensions y and y+14
y%28y%2B14%29=72


Flag: width 6, length24


-
For the mat,
y%5E2%2B14y=72
y%5E2%2B14y-72=0
-
discriminant is 22%5E2;

y=%28-14%2B22%29%2F2

y=4

The Mat:
Dimensions are 4 and 18.