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Four lines ar...

Question

Four lines are drawn through the center of the rectangle shown above. What fraction of the area of the rectangle is shaded?

\frac{3}{8}

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\frac{1}{4}

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\frac{1}{8}

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\frac{1}{10}

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\frac{1}{16}

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Solution

The correct option is B $\frac{1}{4}$
The diagonals divide the rectangle into exactly four equal parts( the areas of four triangles formed are equal).
If we observe carefully, by similar triangles property we get that the shaded region area is exactly $1 / 4$ th of total area.
Therfore the ratio is $1 / 4$ .

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Four lines are drawn through the center of the rectangle shown above. What fraction of the area of the rectangle is shaded?

The correct option is B 14The diagonals divide the rectangle into exactly four equal parts( the areas of four triangles formed are equal). If we observe carefully, by similar triangles property we get that the shaded region area is exactly 1/4th of total area.Therfore the ratio is 1/4.