Question

Write an expression in simplest form to represent the area of the triangle.

Width is x^2-8x+16/4x^2
Length is 2x^2-10x/x^2-9x+20

Answer 1

Area = (1/2) * Width * Length

= (1/2) * (x^2-8x+16/4x^2) * (2x^2-10x/x^2-9x+20)

= (1/2) * ((x^2-8x+16) * (2x^2-10x) / (4x^2 * x^2-9x+20))

= (1/2) * ((2x^4 - 10x^3 - 16x^3 + 80x^2 + 16x^2 - 80x) / (4x^2 * x^2-9x+20))

= (1/2) * ((2x^4 - 26x^3 + 96x^2 - 80x) / (4x^2 * x^2-9x+20))

= (x^4 - 13x^3 + 48x^2 - 40x) / (4x^2 * x^2-9x+20)

Therefore, the expression in simplest form to represent the area of the triangle is (x^4 - 13x^3 + 48x^2 - 40x) / (4x^2 * x^2-9x+20)