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A rectangular sheet of paper, when halved by folding it at the mid point of its longer side, results in a rectangle whose longer and shorter sides are in the same proportion as the longer and shorter sides of the original rectangle. If the shorter side of the original rectangle is 2, what is the area of the smaller rectangle ?
  • a)
    4√2
  • b)
    2√2
  • c)
    √2
  • d)
    3√2
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A rectangular sheet of paper, when halved by folding it at the mid poi...
Let the longer side of the original rectangle be x. Therefore, breadth of the modified rectangle = x/2.
=> x:2 = 2:(x/2)
=> x^2 = 8
Area of smaller rectangle = (x/2)*2 = x = 2
√2
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Most Upvoted Answer
A rectangular sheet of paper, when halved by folding it at the mid poi...
Let the original rectangle have dimensions $x$ and $y$, where $x>y$. When the rectangle is folded in half along the longer side, the resulting rectangle will have dimensions $\frac{x}{2}$ and $y$. We are given that $\frac{\frac{x}{2}}{y}=\frac{x}{y}$, which simplifies to $\frac{x}{4}=y$. We are also given that $y=2$, so $x=8$. Thus, the area of the smaller rectangle is $\frac{x}{2}y=\frac{8}{2}\cdot2=\boxed{8}$.
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A rectangular sheet of paper, when halved by folding it at the mid point of its longer side, results in a rectangle whose longer and shorter sides are in the same proportion as the longer and shorter sides of the original rectangle. If the shorter side of the original rectangle is 2, what is the area of the smaller rectangle ?a)4√2b)2√2c)√2d)3√2e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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