Question 1168233


 The dimensions of a rectangular flower garden in Olongapo Park are 20m by 10m. There is a paved walk uniform width surrounding the garden. The combined area of the garden and walk is 600m². Find the width of the walk. Show your solution.

let width of walkway be x

 The dimensions of a rectangular flower garden in Olongapo Park are 20m by 10m. 

The length and width including walkway  will be 

(20+2x)(10+2x)

 The combined area of the garden and walk is 600m².

(20+2x)(10+2x)= 600

200+40x+20x+4x^2=600

4x^2+60x-400=0

divide by 4

x^2+15x-100=0

x^2 +20x-5x-100=0

(x+20)(x-5)=0

x=-20 or x=5

Can width be negative ? 

So x = 5

 the width of the walk is  5   meters