A rectangular garden 40m ×30m is surrounded from outside by a path of equal width. if the area of the path is 456 m² , find the width of the path?
Answers
Answered by
11
area of path=40×30-40-w×30-w
456=1200-(40+w×30+w)
456=1200-1200-40w-30w-w×w
456+70w+w×w=0
456+62w+8w+w×w=0
62 (8+w)+w (8+w)=0
(62+w)(8+w)=0
w=-8
456=1200-(40+w×30+w)
456=1200-1200-40w-30w-w×w
456+70w+w×w=0
456+62w+8w+w×w=0
62 (8+w)+w (8+w)=0
(62+w)(8+w)=0
w=-8
Similar questions