Find the perimeters of:
(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