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If the ratio of the lengths of two rectangles is 5:7 and the length of the first

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Question: If the ratio of the lengths of two rectangles is 5:7 and the length of the first rectangle is 25 cm, what is the length of the second rectangle?

Options:

  1. 30
  2. 35
  3. 40
  4. 45

Correct Answer: 30

Solution: 

Let the length of the first rectangle = 5x and the second = 7x. Given 5x = 25, x = 5. Therefore, length of the second rectangle = 7x = 7*5 = 35.

If the ratio of the lengths of two rectangles is 5:7 and the length of the first

Practice Questions

Q1
If the ratio of the lengths of two rectangles is 5:7 and the length of the first rectangle is 25 cm, what is the length of the second rectangle?
  1. 30
  2. 35
  3. 40
  4. 45

Questions & Step-by-Step Solutions

If the ratio of the lengths of two rectangles is 5:7 and the length of the first rectangle is 25 cm, what is the length of the second rectangle?
  • Step 1: Understand the ratio of the lengths of the two rectangles, which is 5:7.
  • Step 2: Let the length of the first rectangle be represented as 5x and the length of the second rectangle as 7x.
  • Step 3: We know the length of the first rectangle is 25 cm, so we can set up the equation 5x = 25.
  • Step 4: Solve for x by dividing both sides of the equation by 5. This gives us x = 25 / 5.
  • Step 5: Calculate x, which equals 5.
  • Step 6: Now, find the length of the second rectangle by substituting x into 7x. This means we calculate 7 * 5.
  • Step 7: Perform the multiplication to find the length of the second rectangle, which is 35 cm.
  • Ratios – Understanding and applying the concept of ratios to find unknown values based on given relationships.
  • Algebraic Representation – Using variables to represent unknown quantities and solving equations to find their values.
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