# The perimeter of a rectangle is 0.36, its length is 2 times its width, which is the area of the rectangle.

July 28, 2021 | education

| 1) Let’s introduce a variable.

Let x be the width of the rectangle, then 2x is the length of the rectangle.

2) Let’s compose an equation and solve it.

The perimeter of a rectangle is equal to the sum of the lengths of its four sides. P = a + b + a + b = 2 (a + b), where a is the length of the rectangle, b is the width of the rectangle.

2 (2x + x) = 0.36;

2 * 3x = 0.36;

6x = 0.36;

x = 0.36: 6;

x = 0.06 – the width of the rectangle;

2x = 0.06 * 2 = 0.12 – the length of the rectangle.

3) Find the area of the rectangle.

The area of a rectangle is equal to the product of its sides, length and width. S = ab.

S = 0.12 * 0.06 = 0.0072.

Answer. 0.0072.

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