The width of the rectangle is 42 cm, which is 3/14 of its perimeter. Find the length of this rectangle.

univerkov | September 6, 2021 | education

Let’s designate P – perimeter, X – width, Y – length of the rectangle;

By condition, X = 3/14 * P = 42, hence P = 42 * 14/3 = 196;

The perimeter of a rectangle is equal to the sum of its sides;

P = 2X + 2Y; 196 = 2 * 42 + 2Y; Y = (196 – 84) / 2 = 56;

Answer: The length of the rectangle is 56 cm.

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