If the diagonal is 32 than you will us
A^2 + b^2 = c^2
We will use the aspect ratio to find a common variable
4A = 3B
a = (3/4)B now plug it in
((3/4)B)^2 + b^2 = 32 (This is because c is the diagonal)
Now solve for B
B turns out to be 25.577 inches
Plug B in
A = (3/4)(25.577)
A = 19.18
Now add up ther perimeter A + A + B + B
19.18 + 19.18 + 25.577 + 25.577
89.6 inches
left to right so -infinity, 3
For any quadratic functions, ax² + bx + c, we can easily find the x-coordinate of its vertex through the use of the formula below.

where a and b are the coefficients of the function. For f(x), we have a = -1 and b = -16. Thus, we have


Since we now have the x-coordinate of the vertex, we can just easily substitute 8 into f(x) as shown below.


Thus, the
vertex of f(x) is (8, 60). The vertex of the function shows the maximum value that the function can reach. For this particular case, the vertex represents the
maximum profit that the shop owner could earn.The x-intercepts of the function are the values of x when f(x) is zero. By equation f(x) with zero, we can solve the quadratic equation to find the x-intercepts as shown below.





From this, we can see that the x-intercepts are
(6, 0) and (10, 0). We just discussed that the x-intercepts are the values of x when y is zero. So, for this case it means that the shop does not earn a profit if they sell 6 or 10 candles. Basically, the x-intercepts represent the
number candles sold if the shop wants to break even.