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Galina-37 [17]
2 years ago
9

. The volume of a box is 405 cubic units. The length is x units, the width 4 units greater than the length, and the height is 9

units. Find the length and width of the box.
Mathematics
1 answer:
lukranit [14]2 years ago
3 0

Answer:

length = 5

width = 9

Step-by-step explanation:

V = lwh

let 'x' = length

let '4+x' = width

9 = height

405 = 9x(4+x)

405 = 36x + 9x²

this is a quadratic equation:  9x² + 36x - 405 = 0

factor out a 9 to get:

9(x² + 4x - 45) = 0

9(x-5)(x+9) = 0

one root is 5 and the other is -9

since distance cannot be negative we use 5 as the length and 9 is the width

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