Question

a square lawn is surrounding by a 5m wide path. If the area of the path is 400m^2 ,find the area of the lawn

Answer 1

Answer:

225

Step-by-step explanation:

Area of bigger square-Area of smaller square=Area of path = 400 m^2

Let side of smaller square = x

then side of bigger square = x + 10 (As width of path around the smaller square is 5m)

(x+10)^2 - x^2 = 400

x^2 + 100 + 20x - x^2 = 400

20x = 300

x = 15 m

Area of square lawn = Area of smaller square = x^2 =

15^2 = 225 m^2