Question
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he ratio of length to breadth of a painting is . If the breadth is 2.25 m . what will the length be

Ask by Tucker Horton. in South Africa
Jan 16,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The length of the painting is 4 meters.

Solution

Given that the ratio of length to breadth of a painting is and the breadth is 2.25 m, we can find the length using the ratio.
Let’s denote the length as and the breadth as . We have the ratio .
Given that the breadth m, we can substitute this value into the ratio to find the length .
To find the length , we can solve this equation.
Solve the equation by following steps:
  • step0: Solve for :
  • step1: Divide the terms:
  • step2: Multiply both sides of the equation by
  • step3: Multiply the terms:
  • step4: Divide both sides:
  • step5: Divide the numbers:

    The length of the painting will be 4 m.

Answered by UpStudy AI and reviewed by a Professional Tutor

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Bonus Knowledge

To find the length of the painting, we can use the ratio of length to breadth, which is 16:9. Given that the breadth is 2.25 m, we can set up the following proportion:
Substituting the breadth into the equation, we have:
To find the length, we can cross-multiply and solve for Length:
Calculating this gives:
Thus, the length of the painting will be approximately 4 m.

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