SOLUTION: a triangle has area of 768 ft squared with a base of 48 ft.the scale drawing of the figure has a scale of 1/16 inch to 1 ft. what is the area to the scale drawing of this triangle?

Algebra ->  Surface-area -> SOLUTION: a triangle has area of 768 ft squared with a base of 48 ft.the scale drawing of the figure has a scale of 1/16 inch to 1 ft. what is the area to the scale drawing of this triangle?      Log On


   

Question 102261: a triangle has area of 768 ft squared with a base of 48 ft.the scale drawing of the figure has a scale of 1/16 inch to 1 ft. what is the area to the scale drawing of this triangle?

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
0.5*a*b=A a=altitude b=base=48' A=area
0.5a*48=768
a=768/24=32' divide each side by 24.
%281%2F16%29%2F12=b%2F576 Proportion for 1/16" : 12"
%28%281%2F16%29%2A576%29%2F12=b
b=3"
%281%2F16%29%2F12=a%2F384
%28%281%2F16%29%2A384%29%2F12=a
a=2"
A=.5*3*2= 3 sq inches (Ans.)
Ed