The length of a rectangle is 4 centimeters less than three times the width. the perimeter of the rectangle is 88 centimeters. what are the dimensions of the rectangle?

2 [ (x) + (3x - 4) ] = 88

2 [ x + 3x - 4 ] = 88

2 [ 4x - 4 ] = 88

4x - 4 = 44

4x = 40

x = 10 cm [ width]

3(10) - 4 = 26 cm [length]

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)

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