Posted by audrey on .
a triangular road sign has a height of 8 feet and a base of 16.5 feet. How much larger in area is this sign than one with a height of 4 feet and a base of 8.25 feet?
Please fully explain how you got this cause i'm really confused!!!

math!! 
Reiny,
since the sides of the two similar road signs are in the ratio of 2 : 1
so their areas are proportional to the square of their sides
2^2 : 1^2 = 4 : 1
so the second is 4 times larger.
You could do it the long way, and actually calculate their areas. You will find the the first answer is 4 times the second answer. 
math!! 
Ms. Sue,
Triangle area:
A = bh/2
A = (16.5 * 8)/2
A = 132/2
A = 66 square feet
Find the area of the smaller triangle the same way. 
math!! 
audrey,
thank you Reiny and Ms. Sue!! I wouldn't be able to make it through my math class without you!

math!! 
Ms. Sue,
You're welcome, Audrey.