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
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Question 29878: 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 Earlsdon(6294) (Show Source):
You can put this solution on YOUR website! First calculate the area of the rectangle using the given dimensions, L = 12" and W = 8"
A = L*W
A = 12*8 = 96 sq.in.
Now, the area of a triangle is given by: and this area is = 96 sq.in., so you can write: but the base, b, = 32", so substituting this for b, you have: Solve for h. inches.
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