Question

the perimeter of a rectangle is equal to that of a square with side13m if the rectangle is 16 m long what is its breadth​

Answer 1

Given :

⬤ Perimeter of Rectangle is equal to that of Square .

⬤ Side of Square is 13 m .

⬤ Length of Rectangle is 16 m .

To Find :

⬤ Breadth of Rectangle .

Formula Used :

$\bf[\:{Perimeter \: of \: Square = 4 \times{Side}\:]}$

Solution :

First , We have to Calculate Perimeter of Square . Hence ,

According to the Formula :-

4 × Side

4 × 13

52

Therefore , Perimeter of Square is 52 m .

Formula Used :

$\bf[\:{Perimeter \: of \: Rectangle = 2(l+b)}\:]$

Now :

As given that , Perimeter of Rectangle is equal to Perimeter of Square . Hence ,

• Perimeter of Square = 52 cm

2 (l + b) = 52

2 (16 + b) = 52

32 + 2b = 52

2b = 52 - 32

2b = 20

b = 20/2

b = 10

Therefore , Breadth of Rectangle is 10 m .

Check :

2(l + b) = 52

2 (16 + 10) = 52

32 + 20 = 52

52 = 52

Hence Checked .