Answer:
The width of the rectangle is 15 inches.
Step-by-step explanation:
Take I as the length of the rectangle and w as its width. Use the relationship between the length and the width and express the length in terms of the width.
[tex]l = 1.5w[/tex]
The perimeter of a shape is the sum of its sidelength, use this imformation to write a expression for the perimeter of the rectangle;
[tex]p = 2l \: + 2w[/tex]
Now, replace l for the expression in terms of the width and P for the given perimeter, then solve for w:
[tex]75 = 2(1.5w) + 2w \\ 75 = 3 w + 2w \\ 75 = 5w \\ \frac{75}{5} = w \\ w = 15[/tex]
The width of the rectangle is 15 inches.
