Respuesta :

Answer:

[tex]\boxed {\tt 20 \ meters}[/tex]

Step-by-step explanation:

The perimeter of a rectangle can be found using the following formula.

[tex]p= 2l+2w[/tex]

We know the perimeter is 60 meters and the length is 10 meters.

[tex]p=60 \ m[/tex]

[tex]l= 10 \ m[/tex]

Substitute the values into the formula.

[tex]60 \ m = 2(10 \ m) + 2w[/tex]

Multiply 2 and 10.

[tex]60 \ m = 20 \ m +2w[/tex]

Subtract 20 from both sides of the equation.

[tex]60 \ m - 20 \ m = 20 \ m - 20 \ m +2w[/tex]

[tex]60 \ m - 20 \ m =2w[/tex]

[tex]40 \ m = 2w[/tex]

Divide both sides of the equation by 2.

[tex]\frac{40 \ m}{2} =\frac{2w}{2}[/tex]

[tex]\frac{40 \ m}{2} =w[/tex]

[tex]20 \ m =w[/tex]

The width of the rectangle is 20 meters.