The length of a rectangle is thrice its breadth. If the breadth is ‘b’ meters find the
expression for the following:
a) Area of the rectangle (1)
b) Perimeter of the rectangle (1)
c) If breadth is 3 cm, what is its perimeter?
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The length of a rectangle is thrice its breadth. If the breadth is ‘b’ meters find the
expression for the following:
a) Area of the rectangle (1)
b) Perimeter of the rectangle (1)
c) If breadth is 3 cm, what is its perimeter?
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Required Answer :-
Step-by-step explanation:
To Find :-
Solution:
Given that,
Assumption:
Let us assume the length of rectangle as (3b) metres, as the length of rectangle is thrice the breadth and given the breadth is (b) metres.
According the question,
As we know that,
Area = ( length × breadth ) sq. units,
So,
⟶ Area = length × breadth
⟶ Area = [ 3b × b ] metre square
⟶ Area = [ 3b*b ] metre square
⟶ Area = 3b² metre square.
As we know that,
Perimeter = 2 ( length + breadth ) units,
So,
⟶ Perimeter = 2 ( length + breadth )
⟶ Perimeter = 2 ( 3b + b ) ] m
⟶ Perimeter = [ 2 ( 4b ) ] m
⟶ Perimeter = [ 2*4b ] m
⟶ Perimeter = 8bm.
According the question,
As given, length is thrice it's breadth, So,
And given, Breadth = 3cm.
→ Length = ( 3b )cm = ( 3*3 )cm = 9cm.
As we know that,
Perimeter = 2 ( length + breadth ) units,
So,
⟶ Perimeter = [ 2 ( 9 + 3 ) ] cm
⟶ Perimeter = [ 2 ( 12 ) ] cm
⟶ Perimeter = [ 2*12 ] cm
⟶ Perimeter = 24cm.
Verified answer
Answer:
breadth = b m
length = 3b m
a) Area of rectangle= l×b = b× 3b= 3b²
b) Perimeter of rectangle =2+(l×b)=2×( b+3b)=2×4b =8b
c)b=3 cm
Perimeter = 8×3=24m