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In a rectangle the ratio of the length and breadth is 3:2. If each of the length and breadth is increased by 3m their ratio becomes 10:7. The area of the original rectangle in m² is?
- a)384
- b)486
- c)346
- d)476
- e)None of the Above
Correct answer is option 'B'. Can you explain this answer?
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In a rectangle the ratio of the length and breadth is 3:2. If each of ...
[3x + 3 / 2x + 3] = 10/ 7
x = 9
Area of the original rectangle = 3x * 2x = 6x²
Area of the original rectangle = 6 * 81 = 486m²
x = 9
Area of the original rectangle = 3x * 2x = 6x²
Area of the original rectangle = 6 * 81 = 486m²
Most Upvoted Answer
In a rectangle the ratio of the length and breadth is 3:2. If each of ...
Let's say the original length of the rectangle is 3x and the original breadth is 2x.
According to the given information, if each of the length and breadth is increased by 3m, the new length becomes 3x + 3 and the new breadth becomes 2x + 3.
We can set up the following equation based on the new ratio:
(3x + 3) / (2x + 3) = 10/7
Cross multiplying, we get:
7(3x + 3) = 10(2x + 3)
21x + 21 = 20x + 30
21x - 20x = 30 - 21
x = 9
Therefore, the original length of the rectangle is 3x = 3(9) = 27m and the original breadth is 2x = 2(9) = 18m.
The original area of the rectangle is length * breadth = 27m * 18m = 486 m².
According to the given information, if each of the length and breadth is increased by 3m, the new length becomes 3x + 3 and the new breadth becomes 2x + 3.
We can set up the following equation based on the new ratio:
(3x + 3) / (2x + 3) = 10/7
Cross multiplying, we get:
7(3x + 3) = 10(2x + 3)
21x + 21 = 20x + 30
21x - 20x = 30 - 21
x = 9
Therefore, the original length of the rectangle is 3x = 3(9) = 27m and the original breadth is 2x = 2(9) = 18m.
The original area of the rectangle is length * breadth = 27m * 18m = 486 m².
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In a rectangle the ratio of the length and breadth is 3:2. If each of the length and breadth is increased by 3m their ratio becomes 10:7. The area of the original rectangle in m² is?a)384b)486c)346d)476e)None of the AboveCorrect answer is option 'B'. Can you explain this answer?
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