a. The expression for the right triangle is x² - 10x - 40 = 0
b. Yes, It is possible to optimize the fencing
How to find the expression
Let the two sides of the right-angled triangle be x and y
a. Expression for right angle triangle
Area = 1/2 * x * y
base is x and the height is y
20 = xy/2
xy = 40
j
And x + y = 10, y = 10 - x
x(10 - x) = 40
10x - x² = 40
x² - 10x - 40 = 0
To optimize the fencing means to find the value of x that minimizes or maximizes the area A.
To do this, you can take the derivative of the area expression with respect to x, set it equal to zero, and solve for x.