Multiple choice

The length of a rectangle is $2$ times its width and the perimeter of the rectangle is $60$ cm. The area of the rectangle is ____.

  1. $100 cm^2$
  2. $300 cm^2$
  3. $200 cm^2$

  4. none of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let width = w, then length = 2w. Perimeter = 2 * (l + w) = 2 * (2w + w) = 6w. Given 6w = 60, so w = 10 cm and l = 20 cm. Area = l * w = 20 * 10 = 200 cm^2.

AI explanation

Let the width of the rectangle be w, so the length is 2w; using the perimeter formula 2 * (length + width) = 60, we get 2 * (2w + w) = 60. Solving for w gives 6w = 60, meaning w = 10 cm and the length is 20 cm. The area is calculated as length times width, 20 * 10, which is 200 square centimeters. The result is 200 square centimeters.

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