Question

There are n rectangles each with an area of 200 cm2. If the dimensions of each n rectangles are in integers, then the value of n is

6
4
10
12
Unanswer​

Answer 1

Answer:

can iget any attachment

Explanation:

please u will give means i will give the ans

Answer 2

For the given 'n' rectangles, each having an area of 200 cm, the value of n is 6.

Given,

There are 'n' rectangles, each having an area = 200 cm².

The dimensions of each rectangle are in integers.

To find,

The value of 'n'.

Solution,

Here, we can see that 'n' rectangles, each having an area of 200 cm² are given here.

The dimensions of rectangles are given to be integers.

Firstly, we know that the area of a rectangle is given as

$A=l \times b$

So, here, for one rectangle,

$l \times b= 200$ cm ².

Now, as we can see from above, that, to find 'n', we need to find the number of pairs whose product is equal to 200.

Also, since dimensions cannot be negative, so all the negative integers will be neglected.

So, the required pairs shall be as follows.

1. 1, 200,
2. 2, 100,
3. 4, 50,
4. 5, 40,
5. 8, 25,
6. 10, 20.

We can see from above, that there could be 6 pairs of positive integers whose product is 200.

Thus, the number of such rectangles = 6.

Therefore, for the given 'n' rectangles, each having an area of 200 cm, the value of n is 6.

#SPJ2