The length of a rectangle is 3 inches longer than it's width. The perimeter of the rectangle is less than 30 inches. Write and solve an inequality to find the width of the rectangle

Step-by-step explanation:

Let W represent the width of the rectangle.

The length of a rectangle is 3 inches longer than it's width. It means that the length of the rectangle is (w + 3) inches

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(length + width)

The perimeter of the rectangle is less than 30 inches. It means that

2(w + w + 3) < 30

2(2w+ 3) < 30

Dividing through by 2, it becomes

2w + 3 < 15

2w < 15 - 3

2w < 12

w < 12/2

w < 6

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

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