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What are the dimensions of the rectangle whose width is 2/3 its length and perimeter is 180m?
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Length=36m and Width=54m
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Length=24m and Width=16m
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Length=54m and Width=36m
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Length=18m and Width=12
That's Correct!
It's Wrong!
The question states that the width of the rectangle is 2/3 its length. This means that if we let the length be x, then the width would be (2/3)x. The question also states that the perimeter of the rectangle is 180m. The formula for the perimeter of a rectangle is 2(length + width). So, we can set up the equation 2(x + (2/3)x) = 180. Simplifying this equation, we get (8/3)x = 90. Multiplying both sides by 3/8, we get x = 90 * (3/8) = 33.75. Therefore, the length of the rectangle is 33.75m and the width is (2/3)(33.75) = 22.5m. However, none of the given answer choices match these dimensions. Therefore, the correct answer is not available.
