Question

answer the following quickly

Answer 1

Answer:

Step-by-step explanation:

Let the width of the path be w

Area of the path = 456m²

Area of the garden=30m ×40m= 1200m²

Area including the path= (40+2w)(30+2w)

Area of the path= entire area - area of the garden

456= (40+2w)(30+2w) - 1200

456=1200+80w+60w+4w²- 1200

456=4w²+140w

4w² +140w - 456=0

w²+35w - 114=0

w² + 38w -3w -114=0

w(w+38) - 3(w+38) =0

(w - 3)(w+38) =0

w = 3 or w = -38

Since width can not be negative,

w = 3