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tamaranim1 [39]
3 years ago
12

A rectangle has a length at most two more than seven times the width. If the perimeter is less than or equal to 52 units, find t

he lest possible width and length.
Mathematics
1 answer:
ella [17]3 years ago
7 0

7x + 2 \leqslant 52
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Answer:

A. 3 cm

Step-by-step explanation:

The smallest face has the sides 4 cm and 8 cm. If the water is 4 cm from its top, then the height of the water is 16-4=12 cm and the volume of the water is

V_{water}=4\cdot 8\cdot 12=384\ cm^3

The largest face has the sides 8 cm and 16 cm. If the container is placed on its largest face, then the volume of the water is

V_{water}=8\cdot 16\cdot h \ cm^3,

where h is the height of the water.

Equate volumes of the water:

8\cdot 16\cdot h=384\\ \\h=\dfrac{384}{8\cdot 16}=3\ cm

Therefore, the water is 3 cm from the bottom.

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