Question

A garden measuring 10 meters by 7 meters is going to have a walkway constructed all around the perimeter, increasing the total area to 130 square meters. What will be the width of the pathway?

Answer 1

The width of the pathway is 3m

Step-by-step explanation:

Let the width of the pathway be 'w'

The area will be 130 square meters

The dimensions of the garden is 10 x 7

Area = (10+w) (7+w)

130 = 70 + 17w + w^2

w^2 + 17w - 60 = 0

w^2 +20w - 3w - 60 = 0

w ( w + 20) - 3 ( w + 20) = 0

(w + 20) (w - 3) = 0

w = -20 ( or) w = 3

w is the width and cannot be negative.

So, w = 3 meters

The width of the pathway is 3m