Answer:
P = (5.4 inches/sec) t + 14 inches for t > 0
Step-by-step explanation:
A formula for the length of this rectangle is L = (2.7 inches/sec) t, where t is the number of seconds.
The standard formula for the perimeter of a rectangle is P = 2L + 2W.
Substituting (2.7 inches/sec) t for L, we get:
P = 2( (2.7 inches/sec) t ) + 2(7 inches) for t > 0.
This may be simplified slightly:
P = (5.4 inches/sec) t + 14 inches for t > 0
The formula expresses the perimeter of the rectangle is P = (5.4 inches/sec) t + 14 inches for t > 0.
Given
The rectangle has a fixed width of 7 inches and an initial length of 0 inches.
The length of the rectangle begins increasing at 2.7 inches per second.
The perimeter of the rectangle is defined as 2 times the sum of the length and width.
Then,
The formula expresses the perimeter of the rectangle, P (in inches), in terms of the length of the rectangle, l (in inches) is;
[tex]\rm Perimeter \ of \ rectangle=2(Length + width)\\\\ Perimeter \ of \ rectangle=2(2.7t+7)\\\\ Perimeter \ of \ rectangle=5.4t+14\\[/tex]
Hence, the formula expresses the perimeter of the rectangle is P = (5.4 inches/sec) t + 14 inches for t > 0.
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