SOLUTION: A triangle has the same area and base as a rectangle. If the rectangle height is 6 cm, then the triangle height is (A) 3 cm (B) 6 cm (C) 9 cm (D) 12 cm (E) None of these

Question 206741: A triangle has the same area and base as a rectangle. If the rectangle height is 6 cm, then the triangle height is
(A) 3 cm (B) 6 cm (C) 9 cm (D) 12 cm (E) None of these
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
A triangle has the same area and base as a rectangle. If the rectangle height is 6 cm, then the triangle height is
(A) 3 cm (B) 6 cm (C) 9 cm (D) 12 cm (E) None of these
.
Let b = base
and h = height of triangle
then
area of rectangle = 6b
and
area of triangle = (b/2)h
.
Since area is the same:
6b = (b/2)h
Solving for h: (multiplying both sides by 2)
12b = bh
dividing both sides by b:
12 cm = h
.
Answer: D
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