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If the ratio of the lengths of two rectangles is 5:7, and the area of the smaller rectangle is 100 square units, what is the area of the larger rectangle?
  • a)
    140 square units
  • b)
    175 square units
  • c)
    200 square units
  • d)
    245 square units
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If the ratio of the lengths of two rectangles is 5:7, and the area of ...
Let the length of the smaller rectangle be 5x, then the length of the larger rectangle is 7x.
The area of the smaller rectangle is 5x * width = 100. Therefore, 5x * width = 100.
So, the area of the larger rectangle is 7x * width
= (7x/5x) x 100
= 7 x 100
= 700 square units.
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