A wire is in the shape of a square of side 10 cm. If the wire is rebent into a rectangle of length
12 cm, find its breadth. Which figure encloses more area and by how much
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Answered by
1
Answer:
for square,
side=10cm
for rectangle,
length=12cm
area of square=area of rectangle
•°•side^2=l×b
•°•100=12×b
•°•b=0.12cm
Answered by
4
Side of a square = 10cm
⠀⠀⠀Perimeter of square = 4 × S
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 4 × 10 = 40cm².
Perimeter of sq. = Perimeter of rectangle =40cm²
Perimeter of rectangle = 2 ( L + B )
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀40 = 2 ( 12 + B )
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀40 = 24 + 2B
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀40 - 24 = 2B
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀B =
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀B = 8cm.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Area of sq. = S × S
⠀⠀⠀⠀⠀⠀⠀= ( 10 × 10 ) cm²
⠀⠀⠀⠀⠀⠀⠀= 100 cm²
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Area of rectangle = ( L × B ) sq. unit
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ = ( 12 × 8 ) cm²
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ = 96 cm².
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Square has encloned more area by 4cm² .
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