Q. 54.3( 60 Votes )

Find the perimeters of:
(i) ABE

(ii) The rectangle BCDE in this figure.

Whose perimeter is greater?


Answer :

(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 = 47/6 = 


Since,


531 > 470


Therefore,


> 


Hence,


Perimeter of triangle is greater than the perimeter of rectangle

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