Question

Write an expression in simplest form to represent the area of the rectangle.
Width is x^2-8x+16/4x^2
Length is 2x^2-10x/x^2-9x+20

Answer 1

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

Answer 2

Are you sure

Answer 3

I apologize for the mistake. Let me simplify the expression:

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

Now, let's simplify the two fractions individually:

(2x^2 - 10x) / (x^2 - 9x + 20) = 2x(x - 5) / [(x - 5)(x - 4)]
= 2x / (x - 4)

(x^2 - 8x + 16) / (4x^2) = (x - 4)^2 / (4x^2)

Now, the full simplified expression for the area of the rectangle is:

Area = (2x / (x - 4)) * ((x - 4)^2 / (4x^2))

Answer 4

The answer needs to be simplified

Answer 5

Apologies for that oversight. Let's simplify the expression further:

Area = (2x / (x - 4)) * ((x - 4)^2 / (4x^2))

Area = (2x * (x - 4)^2) / ((x - 4) * 4x^2)

Area = (2x * (x^2 - 8x + 16)) / (4x^3 - 16x^2)

Area = (2x^3 - 16x^2 + 32x) / (4x^3 - 16x^2)

Dividing each term by 2, we get:

Area = (x^3 - 8x^2 + 16x) / (2x^3 - 8x^2)

So, the simplified expression for the area of the rectangle is:

Area = (x^3 - 8x^2 + 16x) / (2x^3 - 8x^2)