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

To solve this problem, recall the formula for the area of ​​a rectangle. The area of ​​the rectangle is equal to the product of the length and the width. S = a * b, where a is the length and b is the width. The perimeter of a rectangle is the sum of the lengths of all its sides. Since in a rectangle the opposite sides are equal, then P = 2 * (a + b), where a is the length, b is the width. Let the length be x meters, then the width is 1 / 3x. Knowing that the perimeter is 4 meters, we will draw up an equation.

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

2 * 1 1 / 3x = 4;

2 * 4 / 3x = 4;

8 / 3x = 4;

x = 4: 8/3 = 4 * 3/8 = 12/8 = 1.5 m.

Let’s calculate the width.

1.5 * 1/3 = 1.5 / 3 = 0.5 m.

Let’s calculate the area.

S = 0.5 * 1.5 = 0.75 sq.m.

Answer: 0.75 sq.m.