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.
Answer:
What is the question? Can you show more info or show anything they gave you?
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. Eggs are sold at a price of P 105.00 per dozen.
Rate = 
2. The carpentry job can be done by 3 carpenters in 4 days.
Rate at which each carpenter works = 
= 1
days
This shows that each carpenter worked for an average of 1.3333 days to complete the job.
3. Five tickets are sold at P 600.00
The price for one ticket = 
= 120
One ticket is sold for P 120.00.
4. The dollar's rate is P 52.00.
This implies that;
1 dollar = P 52.00
dollar rate = 
5. The ratio of water to milk in the recipe is 1 to 4.
This implies that to 1 measure of water, 4 measures of milk is used in the recipe.
rate = 
you can buy about 4 tapes
Hope my answer helped
