Question
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:
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.