Question

quiz Run 1 QUESTION O2 Select the correct answer How many different rectangles can be formed such that the area of each of the rectangles is equal to 160 cm square (The length and the breadth of the rectangle are natural numbers in cm)
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Answer 1

Answer:

10

Step-by-step explanation:

find the multiples of 160 and suppose them as length and breadth for example 16*10=160 suppose 16 as length then 10 as breadth and then reverse

Answer 2

Five rectangles can be formed.

Step-by-step explanation:

Since the area of the rectangle is $160 cm^2$, thus

or $length\times breadth = 160$

or $length = \frac{160}{breadth}$

So, we can make different combinations of length and breadth to get the answer as 160.

1. If breadth $= 1 cm,$ then length$= 160 cm$
2. If breadth $= 2 cm,$ then length $= 80 cm$
3. If breadth $= 4 cm,$ then length$= 40 cm$
4. If breadth$= 8 cm,$ then length $= 20 cm$
5. If breadth $= 10 cm,$ then length$= 16 cm$

The above combinations can be made.