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Q.

If the area of rectangle is equal to Question Image and the length of rectangle is equal to Question Image, then the value of breadth is equal to:


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is A.

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Detailed Solution

Concept- The area of a rectangle is equal to the product of the rectangle's length and breadth. Assume the length of the rectangle is Question Image, the width of the rectangle is Question Image, and the area of the rectangle is A. Then we have Question Image. Assume the length of the rectangle is A, the breadth of the rectangle is B, and the area of the rectangle is A. We know that the length of the rectangle is 8 cm and the area of the rectangle is Question Image . We can now calculate the value of breadth using the formulaQuestion Image.
It was given that the area of the rectangle is equal to Question Image and the length of the rectangle is equal to Question Image.
We know that if the length of the rectangle is Question Image and the breadth of the rectangle is Question Image then the area of the rectangle is equal to Question Image whereQuestion Image.
So, we get
Question ImageLet's pretend the rectangle's width is equal to B.
Question ImageBy using cross multiplication, we get
Question ImageNow we will substitute equation (Question Image) and equation (Question Image) in equation (Question Image).
Question ImageSo, the breadth of the rectangle is equal to Question Image.
Hence, the correct option is 1
 
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