A company produces rectangular advertising boards such that the width is always at least 8 cm shorter than the length, and both the length and width are integers. If the area of a board cannot be…
Question and options
A company produces rectangular advertising boards such that the width is always at least 8 cm shorter than the length, and both the length and width are integers. If the area of a board cannot be more than and the width is cm, then find the maximum possible value of .
- 15
- 13
- 16
- 14
Answer and explanation
Correct answer: D - 14
Length >= x+8, so we need x(x+8) <= 320. x=14 gives 14 x 22 = 308 <= 320, but x=15 gives 15 x 23 = 345 > 320. The maximum width is 14.
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