The boundary of a field is a right triangle with a straight stream along its hypotenuse and with fences along its other two sides. Find the dimensions of the field with maximum area that can be enclosed with 1000 feet of fencing.(Must show work to back up your answer). A=1/2 bh

feet

Step-by-step explanation:

GIVEN: The boundary of a field is a right triangle with a straight stream along its hypotenuse and with fences along its other two sides.

TO FIND: Find the dimensions of the field with maximum area that can be enclosed with feet of fencing.

SOLUTION:

Let the other two sides of triangle be and

such that,  

Area of triangle

Area of triangle

to maximize area, put

other side

dimension of triangle are feet

the answer is 31.27mph

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)