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?

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.

☛ Check: NCERT Solutions for Class 7 Maths Chapter 11

---

Video Solution:

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?

Class 7 Maths NCERT Solutions Chapter 11 Exercise 11.1 Question 6

Summary:

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, the measure of each side will be 31 cm. Also, square shape encloses more area.

---

☛ Related Questions:

• 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 M2 Of The Land Costs Inr 10000
• Find The Area Of A Square Park Whose Perimeter Is 320 M
• Find The Breadth Of A Rectangular Plot Of Land If Its Area Is 440 M2 And The Length Is 22 M Also Find Its Perimeter
• The Perimeter Of A Rectangular Sheet Is 100 Cm If The Length Is 35 Cm Find Its Breadth Also Find The Area