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Answer :

Given: Length = 40 cm,

Breadth = 22 cm

Perimeter of the rectangle= Length of the wire

= 2(l + b) = 2(40 cm + 22 cm)

= 2 × 62 cm = 124 cm

Now, the wire is rebent into a square.

Perimeter = 124 cm

Or, 4 × side = 124

\(\therefore \)side = \(\frac{124}{4} \) cm = 31 cm

So, the measure of each side = 31 cm

Area of rectangular shape = l × b

= 40 cm x 22 cm = 880\( cm^2\)

Area of square shape = Side× side

= \( (31)^2 = 961 cm^2 \)

Since 961\( cm^2 > 880 cm^2 \)

Hence, the square encloses more area.

- Q.1 The length and the breadth of a rectangular piece of land are 500 m and 300 m respectively. Find (i) its area (ii) the cost of the land, if 1\( m^2 \) of the land costs Rs. 10,000
- Q.2 Find the area of a square park whose perimeter is 320 m.
- Q.3Find the breadth of a rectangular plot of land, if its area is 440\( m^2 \)and the length is 22 m. Also, find its perimeter.
- Q.4 The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find its breadth. Also find the area.
- Q. 5 The area of a square park is same as of a rectangular park. If the side of the square park is 60 m and the length of the rectangular park is 90 m, find the breadth of the rectangular park.
- Q.7 The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30 cm, find its length. Also find the area of the rectangle.
- Q.8 A door of length 2 m and breadth 1 m is fitted in a wall. The length of the wall is 4.5 m and the breadth is 3.6 m (Fig). Find the cost of white washing the wall, if the rate of white washing the wall is ? 20 per\(m^2.\)

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