Question

A squqre is formed from a 10 cm long wire. If with the same wire a rectangle of length 12 cm is formed then what is the breadth of the rectangle? Which figure will have more area? Square or rectangle. (answer should be area of the square of length 8 cm. is more ) ​

Answer 1

Answer:

Breadth =8cm

Step-by-step explanation:

The square will have more area than the rectangle...

Answer 2

Therefore the width of the the rectangle is = 8 cm

Therefore the area of the square is more than the area of the rectangle by 4 cm²

Step-by-step explanation:

A square is formed from a 10 cm long wire.

With the same wire a rectangle of length 12 cm is formed.

Then

The perimeter of the square is equal to the perimeter of the Rectangle

Let x be the breadth of the rectangle .

The perimeter of a square is = 4× side

Therefore the perimeter of a square is =(4×10) cm

                                                                =40 cm

The perimeter of a rectangle is= 2(length+breadth)

Therefore the perimeter of a rectangle is =2(12+x) cm

                                                                     =(24+2x)cm

According to the problem,

24+2x=40

⇒2x = 40-24

⇒2x = 16

$\Rightarrow x =\frac{16}{2}$

⇒x = 8

Therefore the width of the the rectangle is = 8 cm

The area of a square = side²

Therefore the area of the square is =10² cm²

                                                           = 100 cm²

The area of a rectangle is = length×breadth

The area of the rectangle is = (12×8) cm²

                                               =96 cm²

Therefore the area of the square is more than the area of the rectangle by (100-96)cm² =4 cm²