AnnaPineappleidn
Answered

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If 5cm and 3cm are added to the length and width of a square, the perimeter of the resulting rectangle is between twice and three times the perimeter of the original square. Find all the possible lengths of the sides of the original square.

Sagot :

Clairejanelle11idn

Answer:

The answer is between 2 and 4. 2 and 4 can be included if you are including the twice or three times. If it doesn't include those then it would only be anything in between.

Step-by-step explanation:

So to start off I would always give placeholder for all the sides. Lets label it x.

2(x+5) + 2(x+3) < 3(4x)

In the equation above, we created a simple equation with 2 representing 2 sides each and the 3 and 5 plugged in. That all is going to be less than 3 times the original perimeter which is 4x for the 4 sides.

2x + 10 + 2x + 6 < 12x

4x + 16 < 12x

16 < 8x

2 < x

We learn that the original x is greater than 2. We don't say it is equal to since it says between. Which doesn't usually include the number stated.

Now we repeat, just instead of 3 its 2 and instead of less than its greater than.

2x + 10 + 2x + 6 > 8x

4x + 16 > 8x

16 > 4x

4 > x

So your answer is between 2 and 4.