the perimeter of a rectangle is 55 inches. the ratio of the length to width is 7:4. use proportions to find the area of the rectangle.

Step-by-step explanation:

let : x the length and y the width ... (x > y and x; y reals numbers)

the perimeter is : 2 (x+y)

2 (x+y) = 55 ... (1)

x/y = 7/4 ... (2)

by (2) : x = (7/4) y

subsct in (1) : 2 ((7/4) y + y) = 55

(7/2) y + 2y = 55

multiply by 2

7y + 4y = 110

11y = 110

y = 10

x = (7/4) (10)

x = 35/2