Find the perimeters of:

(i) ABC


(ii) The rectangle BCDE in this figure.


Whose perimeter is greater?



(i) First of all we have to find out the perimeter of triangle ABE:


We know that,


Perimeter of triangle = Sum of all sides


Therefore,


Perimeter of triangle ABE = AB + BE + EA







cm


(ii) Secondly, we have find out the perimeter of rectangle BCDE:


We know that,


Perimeter of rectangle = 2 × (Length + Breadth)


Therefore,


Perimeter of rectangle BCDE = 2 × ( + )






cm


Now, we have to change the perimeter of both triangle and rectangle into like fractions:


Perimeter of triangle = = =


Also,


Perimeter of rectangle = = =


Since,


531 > 430


Therefore,


>


Hence,


Perimeter of triangle is greater than the perimeter of rectangle


5
1