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The length of a rectangle is sixteen inches less than three times its width. If the perimeter of the rectangle is 192 inches, find the length of the rectangle.

A. 28 inches
B. 54 inches
C. 68 inches
D. 72 inches

Answer :

Final answer:

The length of the rectangle can be found by setting up an equation based on the given information and the perimeter formula. The width of the rectangle is 28 inches, and the length is 68 inches.

Explanation:

To find the length of the rectangle, let's assume the width of the rectangle as 'w' inches. According to the given information, the length is sixteen inches less than three times the width, which can be represented as: length = 3w - 16. The perimeter of a rectangle is given by the formula: perimeter = 2(length + width). Substituting the values, we have: 192 = 2(3w - 16 + w). Simplifying the equation, we get: 192 = 8w - 32. Solving for 'w', we get w = 28. Substituting this value back into the equation for length, we find that the length of the rectangle is 3(28) - 16 = 68 inches. Therefore, the correct answer is C. 68 inches.

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Rewritten by : Barada

Answer:

68in

Step-by-step explanation:

l = 3w-16

l-3w = -16

l+w = 96

-4w = -112

w = 28 in

l = 96-28 = 68in