Question

Ques.A rectrangle field measures 400m by 100m and a square field 200m by 200m.
a)Do the two field have the same are.(answer=yes)
b)Which field require more fencing and by how much more.
(Hint:length of fencing=perimeter=sum of all sides)

Answer 1

rectangle require more frncing = +200m

Answer 2

length of rectangle=400m
breadth of rectangle=100m
a) Area of rectangle=l×b
= 400×100
=40000m²
Side of square=200m
Area of square=(side)²
= (200)²
=40000m²
Yes, they have the same area.

b) perimeter of rectangle=2(l+b)
=2(400+100)
=1000cm
perimeter of square= 4×side
=4×200
=800cm
Hence, perimeter of rectangle is greater than that of square
So rectangle requires more fencing by 1000-800=200cm
rectangle requires more fencing by 200cm.