ABCD is a square. E, F, G, H are the midpoints of their respective sides. Find the ratio of shaded region to that unshaded region.

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Solution

The correct option is B

Let the side length of the square be 'x'.
Area of $Δ$ BEF = area of $Δ$ DHG = $\frac{x^{2}}{8}$
Area of square ABCD = $x^{2}$
Ratio = $\frac{\frac{x^{2}}{4}}{x^{2} - \frac{x^{2}}{4}} = \frac{1}{3}$

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ABCD is a square. E, F, G, H are the midpoints of their respective sides. Find the ratio of shaded region to that unshaded region.

The correct option is B Let the side length of the square be 'x'. Area of ΔBEF = area of ΔDHG =x28 Area of square ABCD = x2 Ratio = x24x2−x24=13

The correct option is B

Let the side length of the square be 'x'.
Area of $Δ$ BEF = area of $Δ$ DHG = $\frac{x^{2}}{8}$
Area of square ABCD = $x^{2}$
Ratio = $\frac{\frac{x^{2}}{4}}{x^{2} - \frac{x^{2}}{4}} = \frac{1}{3}$