The width of the rectangle is one third of its width, and the perimeter is 4 dm. What is the area of the rectangle.

univerkov | March 8, 2021 | education

Let’s take the length of the rectangle as x, then its width is 1/3 x.

P = (x + 1/3 * x) * 2 = 4;

4/3 * x * 2 = 4;

8/3 * x = 4;

x = 4: 8/3;

x = 4 * 3/8;

x = 3/2 = 1.5 dm = 15 cm – length, 1/3 * x = 1/3 * 15 = 5 cm – width.

S = 15 * 5 = 75 cm ^ 2.

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