Question
A rectangular lawn measures 14m by 8m. It is sorrounded by a path of uniform width. If the area of path is 48m^, find its width
Answers
Anonymous
length = 14 + 2w
width = 8 + 2w
so
48 = (14+2w) (8+2w) - 14*8
48 = 44 w + 4 w^2
w^2 + 11 w - 12 = 0
(w+12)(w-1) =0
w = 1
NOW CHECK
16*10 - 14*8 = 160 - 112 = 48, CARAMBA !!1!
width = 8 + 2w
so
48 = (14+2w) (8+2w) - 14*8
48 = 44 w + 4 w^2
w^2 + 11 w - 12 = 0
(w+12)(w-1) =0
w = 1
NOW CHECK
16*10 - 14*8 = 160 - 112 = 48, CARAMBA !!1!
Betty mwasya
Mwasya