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If the ratio of the lengths of two rectangles is 7:4 and the length of the first

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Question: If the ratio of the lengths of two rectangles is 7:4 and the length of the first rectangle is 28 cm, what is the length of the second rectangle?

Options:

  1. 16
  2. 12
  3. 14
  4. 10

Correct Answer: 16

Solution: 

Let the lengths be 7x and 4x. Given 7x = 28, x = 4. Therefore, the length of the second rectangle = 4x = 4*4 = 16.

If the ratio of the lengths of two rectangles is 7:4 and the length of the first

Practice Questions

Q1
If the ratio of the lengths of two rectangles is 7:4 and the length of the first rectangle is 28 cm, what is the length of the second rectangle?
  1. 16
  2. 12
  3. 14
  4. 10

Questions & Step-by-Step Solutions

If the ratio of the lengths of two rectangles is 7:4 and the length of the first rectangle is 28 cm, what is the length of the second rectangle?
  • Step 1: Understand the ratio of the lengths of the two rectangles, which is 7:4.
  • Step 2: Let the length of the first rectangle be represented as 7x and the length of the second rectangle as 4x.
  • Step 3: We know the length of the first rectangle is 28 cm, so we can set up the equation: 7x = 28.
  • Step 4: To find the value of x, divide both sides of the equation by 7: x = 28 / 7.
  • Step 5: Calculate the value of x: x = 4.
  • Step 6: Now, to find the length of the second rectangle, use the expression 4x: length of the second rectangle = 4 * x.
  • Step 7: Substitute the value of x into the expression: length of the second rectangle = 4 * 4.
  • Step 8: Calculate the length of the second rectangle: length = 16 cm.
  • Ratios – Understanding and applying the concept of ratios to compare quantities.
  • Algebraic Representation – Using variables to represent unknown quantities and solving for them.
  • Proportional Relationships – Recognizing how the lengths of the rectangles relate to each other through a constant ratio.
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