SOLUTION: A new triangle is formed when the base of a triangle is tripled and the height is halved . What is the ratio of the area of the original triangle to the area of the new triangle?

Algebra.Com
Question 1012988: A new triangle is formed when the base of a triangle is tripled and the height is halved . What is the ratio of the area of the original triangle to the area of the new triangle?
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
.
Original area=(1/2)bh
.
New area=(1/2)3b(1/2)h=(3/4)bh
.
Ratio=((1/2)bh)/((3/4)bh)=(1/2)/(3/4)=(1/2)(4/3)=4/6=2/3
.
ANSWER: The ratio of original to new is 2:3.


RELATED QUESTIONS

what is the total surface area of a cube when it's edge is doubled,tripled &... (answered by psbhowmick)
The area of a rectangle is 48cm^2 ,the length is halved and the width is tripled. What is (answered by ankor@dixie-net.com)
The height and the base of a rectangle are positive integers. When the height is doubled (answered by Fombitz)
If the height of a triangle with a base of 8cm is tripled, its Area is by 96 square... (answered by lwsshak3)
All sides of a triangle are halved to make a new triangle. What is the relationship... (answered by fractalier)
What is the area of a triangle when the base is 2 1/2 and the Height is... (answered by rfer)
If the lengths of a triangle are tripled, is the area also... (answered by Deina)
The area of a triangle is 84 and the base is 7.What is the height of the triangle (answered by jim_thompson5910)
Area is 27 of a triangle Height is 3x the base what is the... (answered by Maths68)