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

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

the answer is 99.