A wire is 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 measure of each side? Also find which shape encloses more area.
Answers
Answer: Each side of square = 31cm and square encloses more area .
Step-by-step explanation: length = 40 cm and breadth = 22cm
square perimeter = perimeter of rectangle
square perimeter = 2(40 + 22)cm
square perimeter = 124 cm
square side = 124/4 = 31 cm
rectangle area = 40 x 22 = 880 sq.cm
square area = 31 x 31 = 961 sq.cm
Perimeter of rectangle = 2(l+b) cm
= 2(40+22) cm
= 2× 62 cm
= 124 cm
Area of a rectangle = l × b cm
= 40 × 22 cm
= 880 cm²
A/Q
Perimeter of square = 4 × S cm
124 cm = 4 × S cm
124/4 cm = S
31 cm = S
Area of a square = 4 × S cm²
= 4 × 31 cm²
= 124cm²
Hence proved,
Area of rectangle encloses more area then area of square.
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