Gr10 math
posted by Rebecca on .
A rectangular lawn measuring 8m by 4m is surrounded by a flower bed of uniform width. The combined area of the lawn and the flower bed is 165m^2. What is the width of the flower bed?

Let w=width of flowerbed.
total area, A
= (8+x)(4+x)
=x²+12x+32
Equate A above to 165 m² to get
x²+12x+32 = 165
and solve for x.
Reject the negative root (19).