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The length of a wall is 5/4 times of its height. If the area of wall will be 500m². What is the sum of the length and height of the wall?
  • a)
    55m
  • b)
    45m
  • c)
    40m
  • d)
    50m
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The length of a wall is 5/4 times of its height. If the area of wall w...
Let's assume the height of the wall is "h".
The length of the wall will be 5/4 times the height, which is (5/4)h.

The area of the wall is calculated by multiplying the length and height:
Area = Length × Height
500 = (5/4)h × h

To solve for h, we can multiply both sides of the equation by 4/5:
(4/5) × 500 = (4/5) × (5/4)h × h
400 = h^2

Taking the square root of both sides, we find:
h = √400
h = 20

Therefore, the height of the wall is 20m.

The length of the wall can be found by multiplying the height by 5/4:
Length = (5/4) × 20
Length = 25

So, the length of the wall is 25m.
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Community Answer
The length of a wall is 5/4 times of its height. If the area of wall w...
l = 5x; h = 4x ; l * h = 500
20x² = 500 ; x = 5
l + h = 25 + 20 = 45m
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