SOLUTION: A rectangle and a triangel have equal areas. The length of the triangle is 12inches and its width is 8 inches. If the base of the triangle is 32 inches, what is the length, in in

Algebra ->  Triangles -> SOLUTION: A rectangle and a triangel have equal areas. The length of the triangle is 12inches and its width is 8 inches. If the base of the triangle is 32 inches, what is the length, in in      Log On


   



Question 212863: A rectangle and a triangel have equal areas. The length of the triangle is 12inches and its width is 8 inches. If the base of the triangle is 32 inches, what is the length, in inches, of the altitude drawn to the base?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
I think this should read:
A rectangle and a triangle have equal areas.
The length of the rectangle is 12inches and its width is 8 inches.
If the base of the triangle is 32 inches, what is the length, in inches, of the altitude drawn to the base?
:
Find the area of the rectangle: 12*8 = 96
:
The area of the triangle, a = the altitude
:
1%2F2*32*a = 96
16a = 96
a = 96/16
a = 6 inches is the altitude
:
Check solution: .5*32*6 = 96