Wire 34.6 cm long bent into a rectangle 11.5 cm long Find the width of the rectangle.

From the condition it is known that the wire 34.6 cm long was bent into a rectangle 11.5 cm long. In order to find the width of the rectangle, we compose and solve a linear equation.

Let’s define x cm as the width of the rectangle.

The length of the wire is the perimeter of the rectangle.

Let’s recall the formula for finding the perimeter of a rectangle:

P = 2 (a + b);

Substitute the values and get the equation:

2 (11.5 + x) = 34.6;

23 + 2x = 34.6;

2x = 34.6 – 23;

2x = 11.6;

x = 11.6: 2;

x = 5.8 cm width of the wire rectangle.