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.

Answer 1

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.

$l = 1.5w$

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:

$75 = 2(1.5w) + 2w \\ 75 = 3 w + 2w \\ 75 = 5w \\ \frac{75}{5} = w \\ w = 15$

The width of the rectangle is 15 inches.

Answer 2

this is the answer step by step hope it helps