A rectangle has a fixed perimeter of 350 but the length and width of the rectangle can vary. Define a function g that determines the area of the rectangle (in square inches) given the length of the rectangle in inches, l.

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Mathematics

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5 July, 10:45

A rectangle has a fixed perimeter of 350 but the length and width of the rectangle can vary. Define a function g that determines the area of the rectangle (in square inches) given the length of the rectangle in inches, l.

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Nicholas Patrick · Answer 1

g (L) = 175L - L²

Step-by-step explanation:

350 = 2 (length + width)

length + width = 175

Let L be the length,

L + width = 175

width = 175 - L

Area = length * width

g (L) = L (175 - L)

g (L) = 175L - L²