Question

5. A square and a rectangle have the same perimeter. If the side of the square is 16 m and the
length of the rectangle is 18 m, the breadth of the rectangle is
(a) 14
(b) 15
(c) 16
(d) 17 ​

Answer 1

Answer:

4s=2(l+b)

4*16=2(18+b)

64/2=18+b

32-18=b

hence b=14

option-(a)

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Answer 2

Given:

• Perimeter of square is equal to the perimeter of rectangle
• Side of square is 16m
• Length of rectangle is 18m

To find:

• Breadth of rectangle ?

Solution:

It is given that Perimeter of square is equal to Perimeter of rectangle where side of square is 16m and length of rectangle is 18m.

We know that :

• Perimeter of square = 4×side
• Perimeter of rectangle = 2(length+ breadth)

Finding perimeter of square :

Perimeter of square = 4×side [ side is 16m given]

→ Perimeter of square = 4×16

→ Perimeter of square = 64

Therefore, Perimeter of square is 64m

Now,

As per given question, Perimeter of square is equal to perimeter of rectangle.

Therefore,

We can say that Perimeter of rectangle is 64m.

Now, given that Length of rectangle is 18m. Let Suppose that breadth of rectangle is x.

Therefore,

Perimeter of rectangle = 2(Length+breadth)

→ 64 = 2(18 + x )

→ 64 = 36 + 2x

→ 2x = 64-36

→ 2x = 28

→ x = $\large{\sf{\frac{28}{2}}}$

→ x = 14

Therefore,

$\large{\boxed{\mathfrak{\pink{Breadth\:of\: rectangle\:is\:14m}}}}$