The sides of a vegetable garden in the shape of a right triangle are in the ratio of 3: 4: 5. if the perimeter is 96 feet, what is the length of the shortest side ?

The shortest side has length 24 ft

Step-by-step explanation:

Try this:  3x + 4x + 5x =96 ft, or        

               12x = 96 ft

Then x = (96 ft) / 12, or x = 8

Multiplying this factor 8 by 3, we get 24.  The shortest side has length 24 ft.

The middle-length side is 4(8), or 32.

The longest side is 5(8), or 40.

Check:  Do 40 and 32 and 24 add up to 96 ft?

             do        72        and  24 add up to 96 ft?

                            Yes.

soo this can be solve by using the formula:

f = p( 1 + i)^ n

where f is the future profit

p is the initial profit

i is the percent increase

n is the number of years

a . f = 30000 ( 1.05)^n

b. f = 30000 ( 1.05)^15

f = $62,368

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.