Question

2 S = 4800 дм (квадрат) a:b=3:4 a=? b=?

Answer 1

Ответ:..........................

Answer 2

To solve this problem, we need to find the values of 'a' and 'b' when the area of a rectangle is 4800 square decimeters (dm^2) and the ratio of 'a' to 'b' is 3:4.

Let's first set up the equations to represent the area and the ratio:

1. Area of the rectangle: S = a * b = 4800 dm^2
2. Ratio of a to b: a/b = 3/4

Now, we can solve for 'a' and 'b'.

Step 1: Area of the rectangle S = a * b = 4800 dm^2

Step 2: Ratio of a to b a/b = 3/4

Step 3: Solve for 'b' using the ratio equation b = (4/3) * a

Step 4: Substitute the value of 'b' into the area equation S = a * ((4/3) * a) = 4800 dm^2

Step 5: Solve for 'a' a * (4/3) * a = 4800 (4/3) * a^2 = 4800 a^2 = 4800 * (3/4) a^2 = 3600 a = √3600 a = 60 dm

Step 6: Find 'b' using the ratio equation b = (4/3) * a b = (4/3) * 60 b = 80 dm

So, the values of 'a' and 'b' are: a = 60 dm b = 80 dm