College Math CLEP Prep Practice Exam

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The perimeter of a rectangular shape is 34 cm. If the length of the sides are in the ratio 3:4, what is the length of the longer side?

8 cm
14 cm
21 cm
28 cm

The correct answer is: 28 cm

To solve this problem, it is important to understand the concept of ratios and how they can be used to determine the length of the sides of a rectangle. The ratio of 34 means that for every 3 units of length, there are 4 units of width. In this case, since the perimeter is 34 cm, we can set up the equation 2(3x) + 2(4x) = 34, where x is the unit of length. Solving for x, we get x = 4, which means the shorter side is 3(4) = 12 cm and the longer side is 4(4) = 16 cm. None of the other options provide a length that satisfies this ratio and also adds up to a perimeter of 34 cm, making them incorrect choices.