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keely6940
21.11.2019 •
Mathematics
The top and bottom margins of a poster are 2 cm and the side margins are each 8 cm. if the area of printed material on the poster is fixed at 386 square centimeters, find the dimensions of the poster with the smallest area.
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Ответ:
Answer :
39.294 cm × 9.823 cm
Explanation :
Let x be the length ( in cm ) of the printed material and y be the width ( in cm ) of the printed material,
So, the area of the printed material,
According to the question,
A = 386 cm²,
Since, the printed area is obtained in the margin of 2 cm from both top and bottom and margin of 8 cm in sides,
Thus, length of the poster = (x + 16) cm and width = (y + 4)
So, the area of the poster,
Differentiating with respect to x,
Again differentiating with respect to x,
For maxima or minima,
Sides can not be negative,
Also, at x = 39.294,
i.e.
is minimum at x = 39.294,
∵ y =
= 9.823
Hence, the dimensions of the poster with the smallest area,
39.294 cm × 9.823 cm
Ответ:
she needs to sell 4 bracelets
Step-by-step explanation: