Rectangle and triangle... A rectangle and a triangle have the same area. When placed on the same level, the tip of the triangle touches the top edge of the rectangle. What is the base of the triangle if the area of the rectangle is 150 square cm?

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Neela's answer is excellent.

For the triangle (whose height is the breadth of rectangle) to be having the same area as the rectangle, the base has to be twice as long as the length of the rectangle.

[ Comparing the formula for area of rectangle (length x breadth) and area of triangle (1/2 x base x height), for these two expressions to be equal when the breadth of rectangle is equal to height of triangle, it follows that base has to be 2xlength of rectangle ]

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