Find the dimensions of a rectangular persian rug whose perimeter is 18 ft and whose area is 20 ft squared. the persian rug has a length? (longer side) of nothing ft and a width? (shorter side) of nothing ft.

Hello:

x : the length and y the width ... x > y

2 (x+y) = 18 ... (1)

xy = 20 ... (2)

by (1) : x + y = 9

y = 9 - x

subcste in (2)

x (9 - x) = 20

-x² + 9x = 20

x² - 9x + 20 = 0

(x-4) (x-5) = 0

x-4=0 or x - 5 = 0

x=4 or x = 5

if : x = 4 y = 9-4 = 5 ... refused because : x > y

if : x = 5 y = 9-5 = 4

conclusion:

he length is : 5 feet and the width is : 4 feet