A square and rectangle have equal perimeters. The side of square is 60m and the length of the rectangle is thrice its breadth. Which shape is of bigger area ?

A square and rectangle have equal perimeters. The side of square is 60

1.	A square and rectangle have equal perimeters. The side of square is 60m and the length of the rectangle is thrice its breadth. Which shape is of bigger area ?
Answer» wo rectangular fields have the same perimeter. ONE is a square of side 60 m, the other is a rectangle of length 7 dam. Which FIELD has the larger area and by how MANY area?AnswerGiven One side of a square = 60 m.Breadth of rectangle = 15 dam(1dam=10m1.5dam=10×105d)Now, perimeter of square = 4×side=4×60m=240m∴ TWO fields have same perimeter.2(l+b)=240⇒2(l+15)=240⇒l+15=240/2⇒l=120−15⇒l=105Now, area of square field =side×side=60m×60m=3,600m 2 Area of rectangular field =l×b=105×15=1575m 2 ∴ square field have the larger area by =3600-1575=2,025 m 2