Question

A wire in the shape of a rectangle. its length is 40cm and breadth is 22cm .if the same wire is rebent in the shape of a square, what will be the measures of each side . Also find its length also find the area of the rectangle.​

Answer 1

Answer:

Step-by-step explanation:

Solution:

Length of the rectangle = 40 cm  

Breadth of the rectangle = 22 cm  

Since same length of wire is used to form a rectangle and square, we can say that,  

perimeter of square = perimeter of rectangle  

4 × Side = 2 (Length + Breadth)  

4 × Side = 2 (40 + 22)  

4 × Side = 2 × 62  

4 × Side = 124  

Side = 124/4

Side of square = 31 cm  

Area of square = side × side  

= 31 cm × 31 cm  

= 961 cm2

Area of rectangle = Length × Breadth  

= 40 cm × 22 cm  

= 880 cm2

Hence, square shape encloses more area.

Answer 2

Step-by-step explanation:

Perimeter of rectangle = 2(40+22)

= 2×62 = 124cm

If bent to square

Each side = 124÷4 = 31cm

Area of rectangle = 40×22 = 880cm²

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