Answer:
C
Step-by-step explanation:
4 x 4=16 and half of 4 is 2 so the answer is C)4
Answer: The correct option is (B) 24 : 25.
Step-by-step explanation: Given that the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2 : 3.
We are to find the ratio of the area of R to the area of S.
Let 2x, 3x be the sides of rectangle R and y be the side of square S.
Then, according to the given information, we have
Therefore, the ratio of the area of R to the area of S is
![\dfrac{2x\times3x}{y\times y}\\\\\\=\dfrac{5x^2}{y^2}\\\\\\=6\left(\dfrac{x}{y}\right)^2\\\\\\=6\times\left(\dfrac{2}{5}\right)^2~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{24}{25}\\\\=24:25.](https://tex.z-dn.net/?f=%5Cdfrac%7B2x%5Ctimes3x%7D%7By%5Ctimes%20y%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B5x%5E2%7D%7By%5E2%7D%5C%5C%5C%5C%5C%5C%3D6%5Cleft%28%5Cdfrac%7Bx%7D%7By%7D%5Cright%29%5E2%5C%5C%5C%5C%5C%5C%3D6%5Ctimes%5Cleft%28%5Cdfrac%7B2%7D%7B5%7D%5Cright%29%5E2~~~~~~~~~~~%5B%5Ctextup%7BUsing%20equation%20%28i%29%7D%5D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B24%7D%7B25%7D%5C%5C%5C%5C%3D24%3A25.)
Thus, the required ratio of the area of R to the area of S is 24 : 25.
Option (B) is CORRECT.
Transformation involves moving a shape away from its original position
- The transformation to move the cabinet to a new position is translation
- The transformation to place the chair directly across the couch is reflection
<em>The required diagrams to answer this question are missing; so, I will provide a general exam</em>
<em />
<u>(a) Moving the cabinets</u>
The question says that the cabinets are moved away from their original position.
Since terms like <em>"rotation" or "reflection"</em> are not used, then the general transformation used for "moving" is translation.
Hence, the transformation is translation
<u>(b) Changing the position of the chairs</u>
The question says that the chairs would be placed directly across the couch.
The term "directly across" is used for reflection of a shape.
Hence, the transformation is reflection
Read more about transformation at:
brainly.com/question/11709244
