. The area of the rectangle of length 16 cm is same as the area of a square of side 12 cm.
Find the breadth of the rectangle.
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Given :-
- Length of the rectangle = 16cm
- Side of the square = 12cm
To Find :-
- Area of the Square
- Breadth of the rectangle
Formula :-
- Area of the square = ( a )²
- Area of the Rectangle = l × b
Where,
- a = side of the square
- l = length of the rectangle
- b = Breadth of the rectangle
Solution :-
Area of the square = (a)²
⟹ (12cm)²
⟹ 144cm²
According to question, Both areas are equal
So, The area of square and rectangle is 144cm²
Area of the rectangle = l × b
Let, The breadth be 'b'
By substituting values,
⟹ 16cm × b = 144cm²
⟹ b = 144/16
⟹ b = 9cm
Hence, The Breadth of the rectangle is 9cm
Let's verify :-
Area of the rectangle = length × breadth
⟹ 16cm × 9cm = 144cm²
⟹ 144cm² ⇔ 144cm²
Hence, Verified
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