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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