A rectangular field measures 10m by 18m. The city is building a stone walkway of uniform width around the field. the area of the walkway is one third of the area of the field. How wide is the walkway?

Question

Confused

Idk if its 60=(x-18)(x-10)?

Answer 1

Walkway Area = W = (1/3)(180) = 60 m^2

60 = 2(18+2x)x + 2(10)x

30 = 18x + 2x^2 +10x

15 = x^2 + 14x

x^2 + 14x -15 = 0

factor

(x+15)(x-1) = 0

x= 1 m width for the walkway

check the answer

2(18+2(1)) + 2(10)(1) =

2(20)+ 2(10) = 60

draw a diagram, it helps a lot

Answer 2

please see video