Question

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.

Answer 1

Answer:

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