Suppose you have 56 feet of fencing to enclose a rectangular dog pen. The
function A = 28x - x2, where x = width, gives you the area of the dog pen in
square feet. Which of the following is the width that gives you the maximum
area and the maximum area?

4444444444444 i think

the absolute value function

alright so i think for this one it would to draw it out. this may be hard for me to try and draw, but i will do my best on here:

        r

  /       |     \

notice how it forms 2 triangles inside one bigger triangle.

so if we know the angle spr is the same as psr that is saying the measure of angle p is the same as angle s. this means the big triangle psr is either isosceles or equilateral. in both cases, the triangle is perfectly symmetrical when split down the middle, which is in this case rq. because we know it is perfectly symmetrical on both sides, we know that the two triangles inside the bigger one are equal.