Question

A wire is in the shape of a rectangle. Its length is 40 cm and breadth is 22 cm. If the same wire is rebent in the shape of a square what will be the measure of each side. Also find which shape encloses more area?
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Answer 1

Answer:

Step-by-step explanation:

Area of the rectangle = 40×22

= 880cm²

Now ,

Area of rectangle = area of square

So ,

880= s²

√880 = s

Answer 2

Given:

Length of the rectangle = 40 cm

Breadth of the square = 22 cm

Then we will get:

Perimeter of the rectangle = Perimeter of the Square

2 (Length + Breadth) = 4 × side

2 (40 + 22) = 4 × side

2 (62) = 4 × side

124 = 4 × side

Side = 124/4

Side = 31 cm

So, Area of the rectangle = (Length × Breadth)

= 40 × 22

= 880 cm²

Area of square = side²

= 312

= 31 × 31

= 961 cm²

∴Square shaped wire encloses more area.