Question

A rectangle is 1.5 times as long as it is wide. The perimeter of the rectangle is 75 inches. Find the width of the rectangle.

geometry was never my strong suit. help is appreacated.
thx dude and dudetts.

Answer 1

this is the answer step by step hope it helps

Answer 2

The width of the rectangle is 15 inches.

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.

`l = 1.5w`

The perimeter of a shape is the sum of its sidelength, use this imformation to write a expression for the perimeter of the rectangle;

`p = 2l \: + 2w`

Now, replace l for the expression in terms of the width and P for the given perimeter, then solve for w:

`75 = 2(1.5w) + 2w \\ 75 = 3 w + 2w \\ 75 = 5w \\ (75)/(5) = w \\ w = 15`

The width of the rectangle is 15 inches.