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If the length and the breadth of a rectangle are in the ratio 5: 4 with its perimeter as 234 cm, then the area of the rectangle will be:
  • a)
    2360
  • b)
    2380
  • c)
    3380
  • d)
    4210
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the length and the breadth of a rectangle are in the ratio 5: 4 wit...
Let the length is = 5x and breadth is = 4x
Then its perimeter = 2(5x + 4x) = 234
9x = 117
x = 13
So area of the rectangle = 5x × 4x = 20x2 = 20 × 13 × 13 = 3380 cm2
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Most Upvoted Answer
If the length and the breadth of a rectangle are in the ratio 5: 4 wit...
Given information:
Length: Breadth = 5:4
Perimeter = 234 cm

Calculating dimensions:
Let the common ratio be 5x and 4x for length and breadth respectively.
Perimeter = 2(length + breadth)
234 = 2(5x + 4x)
234 = 18x
x = 13
Length = 5 * 13 = 65 cm
Breadth = 4 * 13 = 52 cm

Calculating area:
Area of a rectangle = length * breadth
Area = 65 * 52
Area = 3380 cm²
Therefore, the area of the rectangle is 3380 cm², which matches with option 'C'.
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If the length and the breadth of a rectangle are in the ratio 5: 4 with its perimeter as 234 cm, then the area of the rectangle will be:a)2360b)2380c)3380d)4210Correct answer is option 'C'. Can you explain this answer?
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