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

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


   

Question 625852: A rectangle and a triangle have equal areas. The length of the rectangle is 12 inches, 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 oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
Area of the rectangle is equal to: 12*8 = 96
Area of the triangle is equal to 32(h)/2 = 16h
Then: 16h = 96
h = 6
Answer: altitude = 6 inches
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