two wires each of length 80cm are bent to form a spuare and a rectangle respectively. if the length of the rectangle is 22cm, find which shape encloses more area ? by how much ?
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Answered by
14
hii!!
here's ur answer...
=>two wires each of length 80cm are bent into square and rectangle.
therefore perimeter of square=perimeter of rectangle.
given the Length of the rectangle is 22cm
therefore 2(l+b)=80cm
→2(22+b)=80cm
→44+2b=80cm
→2b=80-44
→2b=36
→b=36/2
→b=18
★verification★
perimeter of the rectangle=2(l+b)
=2(22+18)
=2×40
=80cm
hence verified
thus the breadth of the rectangle is 18cm.
now,
perimeter of the square is also 80cm
therefore side×4=80cm
→side=80/4
→side=20cm
★verification★
perimeter of square=side×4
=20×4
=80cm
hence verified
thus the side of the square is 20cm.
AREA OF THE RECTANGLE=L×B
=22×18
=396cm²
AREA OF THE SQUARE=SIDE²
=20×20
=400CM²
<<<<<<<>>>>>>>
here's ur answer...
=>two wires each of length 80cm are bent into square and rectangle.
therefore perimeter of square=perimeter of rectangle.
given the Length of the rectangle is 22cm
therefore 2(l+b)=80cm
→2(22+b)=80cm
→44+2b=80cm
→2b=80-44
→2b=36
→b=36/2
→b=18
★verification★
perimeter of the rectangle=2(l+b)
=2(22+18)
=2×40
=80cm
hence verified
thus the breadth of the rectangle is 18cm.
now,
perimeter of the square is also 80cm
therefore side×4=80cm
→side=80/4
→side=20cm
★verification★
perimeter of square=side×4
=20×4
=80cm
hence verified
thus the side of the square is 20cm.
AREA OF THE RECTANGLE=L×B
=22×18
=396cm²
AREA OF THE SQUARE=SIDE²
=20×20
=400CM²
<<<<<<<>>>>>>>
Answered by
1
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