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
