Question

a path 1 m wide is build along the border and inside a square garden of 30m find the area

Answer 1

Let ABCD, the square garden of side= 30 m.
PQRS is the region inside the garden.
so,
PQ = (30 -1-1 ) = 28 m
also
PS = ( 30 – 1 – 1 ) = 28 m

(i) Area of the path = Area of ABCD – Area of PQRS
= [( 30 x 30) – (28 x 28)]
= 900 – 784
= 116 sq.m

(ii) Area of the remaining portion in which the grass is planted = Area of square PQRS
= 28 x 28
= 784 sq.m

Answer 2

area of path=}area of bigger square-area of smaller square garden=30*30-28*28=}116m²