Find the area and perimeter of a square ⬛ of side 10 cm and a rectangle of sides 12 cm and 8 cm compare the both
Answers
Answer:
Let a be the side of a square, l be the length and b be the breadth of rectangle.
As length of wire is constant, perimeter of both shapes would be same,
⇒4a=2(l+b)
⇒40=2(12+b)
⇒b=18 cm
Area of square=a
2
=10
2
=100cm
2
Area of rectangle=lb=12×18=216cm
2
Area of rectangle greater by 116cm sq
QUESTION ⤵️
Find the area and perimeter of a square ⬛ of side 10 cm and a rectangle of sides 12 cm and 8 cm compare the both
SOLUTION⤵️
Perimeter of square = 4a
Area of square = a2
Perimeter of rectangle = 2 ( l + b)
Area of rectangle = l × b
In square
Given =
side = 10cm
Find = 1.Area and 2. perimeter
sol:
Area of ⬛
And,
Perimeter of ⬛
= 4( side) = 4 × 10 cm
= 40 cm
In rectangle
lenght = 12cm
breadth = 8cm
Find :- Area and perimeter of rectangle
sol :-
Area of rectangle = 12cm × 8cm
= 96cm
And,
Perimeter of rectangle = 2 ( l + b )
= 2 ( 12 + 8 )
= 2 × 40 cm
= 80 cm
Hence,
Area of rectangle = 96cm
Area of square = 100cm2
Perimeter of rectangle = 80cm
perimeter of = 40cm
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