Question 148

If a 6 cm X 6 cm square is placed on a triangle, it can cover up to 60% of the triangle. If the triangle is placed on the square it can cover up to $$\frac{2}{3}$$ of the square. The area (in cm$$^2$$) of the triangle is

Solution

The square will cover the same area of the triangle as much as covered by the triangle on square, and that at this point the amount of triangle covered is the same as the amount of square covered.

Let area of triangle be $$A$$ and area of square = $$6\times6=36$$ $$cm^2$$

According to ques,

=> $$\frac{60}{100} A=\frac{2}{3}\times36$$

=> $$A=\frac{24}{0.6}=40$$ $$cm^2$$

=> Ans - (C)

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SRCC GBO 2013

If a 6 cm X 6 cm square is placed on a triangle, it can cover up to 60% of the triangle. If the triangle is placed on the square it can cover up to $$\frac{2}{3}$$ of the square. The area (in cm$$^2$$) of the triangle is

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