Question

The perimeter of a rectangle is 58m². The length of the rectangle is 1 meter longer than three times its width. What is the value of x:

Answer 1

The width of the rectangle is 7 meters.

Step-by-step explanation:

Let's assume that the width of the rectangle is x meters. According to the given information, the length of the rectangle is 1 meter longer than three times its width, which means the length is 3x + 1 meters.

The perimeter of a rectangle is given by the formula P = 2(length + width). Therefore, we can write the equation 2(3x + 1 + x) = 58, where 58 is the perimeter.

Simplifying the equation, we get 8x + 2 = 58. Solving for x gives us x = 7. Therefore, the width of the rectangle is 7 meters.