Question

a square is formed from a 10 centimetre long wire if the same rectangle of length 12 cm is formed what is the breadth of the rectangle whose figure will have more area square and rectangle​

Answer 1

Step-by-step explanation:

side of square = 10cm

perimeter of square = 4× side

=4 × 10

= 40 cm

length of rectangle = 12 cm

breadth = ?

acc to question

perimeter of square = perimeter of rectangle

40 cm = 2 (12+b)

20cm = 12 + b

b = 8cm

Answer 2

The breadth of the rectangle is 8cm and the square has more area (100cm²).

Given, the side of square is 10cm.

We know, for the square of side 'a', its perimeter is 4a, and the area is a²

So, for the square of side of side 10cm, its perimeter is 4(10cm) = 40 cm

and its area is (10²)cm² = 100cm²

It is bent into a rectangle of length 12cm.

Let us consider the breadth to be 'b' cm.

For a rectangle of length l and breadth b its perimeter is 2(l+b).

For, the above rectangle, its perimeter is 2(12+b) cm,

and its area is lb cm²

As the perimeter of the square and rectangle are equal, so:

2(12+b) = 40

⇒12 + b = 20

⇒ b = 20 - 12 = 8

So, breadth is 8 cm

And its area is (12×8) cm² = 96 cm².

The area of square (100cm²) is more than the rectangle (96cm²).